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The equation is \"\".

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Apply division property of equality: Divide each side by negative 7.

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\"\"

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\"\"                       (The quotient of two same signs is positive)

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\"\"                            (Cancel common terms)

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m = 6                                 (Divide: \"\")\"\"

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Check:

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To check the solution, substitute m = 6 in original equation.

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42 = – 7(6)

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– 42 = – 42                       (Multiply: \"\")

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The statement is true.\"\"

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The value is m = 6.