\"\"\"\"

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The equation is \"\".

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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-1.

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\"\"

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Apply addition property of equality: Add 25 to each side.

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\"\"

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

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\"\"                      (Add: 17 + 25 = 42) \"\"

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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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|17| = 17                        (Subtract: \"\")

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The absolute value of 17 is 17.

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17 = 17

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

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Solve the equation for Case-2.

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\"\"

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Apply addition property of equality: Add 25 to each side.

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\"\"

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

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

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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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\"\"                              (The absolute value of \"\")

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

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The solutions are 42 and 8. The solution set is \"\".