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

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The equation is \"\".

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Apply addition property of equality: Add \"\" to each side.

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\"\"

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

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\"\"

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Apply addition property of equality: Add \"\" to each side.

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\"\"

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Apply commutative property of addition: a + b = b + a.

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\"\"

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

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\"\"

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To add the fractions denominator must be equal.

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Find the least common denominator (LCD).

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Multiples of 4: 4,8,12,16,20,24,28,32,......

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Multiples of 7: 7,14,21,28,35,.......

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The least common multiple of 4 and 7 is 28.

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Rewrite each fraction with a common denominator of 28.

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\"\" and \"\"

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\"\"

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\"\"                           (LCM is 28)

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\"\"                                   (Add: 21 + 12 = 33)\"\"

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Apply multiplication property of equality: Multiply each side by 2.

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\"\"

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\"\"                                (Cancel common terms)

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

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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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\"\"                (Multiply: \"\")

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

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\"\" \ \

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\"\"                      (\"\")

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\"\"                         (LCM is 28)

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\"\"                             (Subtract: 21\"\" 33 = \"\"12)

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

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Compare the values, the equation is true.\"\"

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The value of b is \"\".