77=-7(m-7)-5(m-8)

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Solution for 77=-7(m-7)-5(m-8) equation:


Simplifying
77 = -7(m + -7) + -5(m + -8)

Reorder the terms:
77 = -7(-7 + m) + -5(m + -8)
77 = (-7 * -7 + m * -7) + -5(m + -8)
77 = (49 + -7m) + -5(m + -8)

Reorder the terms:
77 = 49 + -7m + -5(-8 + m)
77 = 49 + -7m + (-8 * -5 + m * -5)
77 = 49 + -7m + (40 + -5m)

Reorder the terms:
77 = 49 + 40 + -7m + -5m

Combine like terms: 49 + 40 = 89
77 = 89 + -7m + -5m

Combine like terms: -7m + -5m = -12m
77 = 89 + -12m

Solving
77 = 89 + -12m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '12m' to each side of the equation.
77 + 12m = 89 + -12m + 12m

Combine like terms: -12m + 12m = 0
77 + 12m = 89 + 0
77 + 12m = 89

Add '-77' to each side of the equation.
77 + -77 + 12m = 89 + -77

Combine like terms: 77 + -77 = 0
0 + 12m = 89 + -77
12m = 89 + -77

Combine like terms: 89 + -77 = 12
12m = 12

Divide each side by '12'.
m = 1

Simplifying
m = 1

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