\"\"\"\"\"\"

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The equation is \"\".

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According to division property of equality: if \"\", then \"\".

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\"\"                        (Divide each side by 3)

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\"\"                             (Cancel common terms)

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Write two cases:

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Case-1: a = b

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\"\"

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Case-2: a = \"\"b

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\"\"\"\"

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Solve the equation for Case-2.

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According to Multiplication property of equality: if \"\", then \"\".

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\"\"             (Multiply each side by 3)

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\"\"                     (Cancel common terms)

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\"\"                  (Apply Distributive property: a(b - c) = ab - ac)

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\"\"                      (Multiply: \"\")\"\"

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According to addition property of equality: if a = b, then a + c = b + c.

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\"\"      (Add 15 to each side)

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\"\"                      (Apply Additive inverse property: \"\")

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\"\"      (Subtract 2p from each side)

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\"\"      (Apply Comutative property: a + b = b + a)

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\"\"                      (Apply Additive inverse property: \"\")

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\"\"                                 (Subtract: \"\")\"\"

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Check:

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To check the solution, substitute \"\" in original equation.

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\"\"

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\"\"                 (Subtract: \"\")

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\"\"                (Absolute value: |10| = 10)

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30 = 30                            (Multiply: \"\")

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Compare the values the equation is true. \"\" is a solution.

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\"\"

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Solve the equation for Case-2.

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According to Multiplication property of equality: if \"\", then \"\".

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\"\"             (Multiply each side by 3)

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\"\"                      (Cancel common terms)

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\"\"                   (Apply Distributive property: a(b - c) = ab - ac)

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\"\"                       (Multiply: \"\")\"\"

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According to addition property of equality: if a = b, then a + c = b + c.

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\"\"     (Add 15 to each side)

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\"\"                     (Apply Additive inverse property: \"\")

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\"\"    (Add 2p to each side)

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\"\"    (Apply Comutative property: a + b = b + a)

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\"\"                         (Apply Additive inverse property: \"\")

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\"\"                                  (Add: \"\")\"\"

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According to division property of equality: if \"\", then \"\".

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\"\"                               (Divide each side by 5)

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\"\"                                    (Cancel common terms)

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\"\"                                        (Divide: \"\")\"\"

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Check:

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To check the solution, substitute \"\" in original equation.

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\"\"

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\"\"                     (Subtract : \"\")

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\"\"                       (Absolute value: |\"\"2| = 2)

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6 = 6                                   (Multiply: \"\")

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Compare the values the equation is true. \"\" is a solution.

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\"\"

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The solutions are 15 and 3. The solution set is \"\".