-8m+77-6(m-4)=7m-(6m-3)-2m+7

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Solution for -8m+77-6(m-4)=7m-(6m-3)-2m+7 equation: 


Simplifying
-8m + 77 + -6(m + -4) = 7m + -1(6m + -3) + -2m + 7

Reorder the terms:
-8m + 77 + -6(-4 + m) = 7m + -1(6m + -3) + -2m + 7
-8m + 77 + (-4 * -6 + m * -6) = 7m + -1(6m + -3) + -2m + 7
-8m + 77 + (24 + -6m) = 7m + -1(6m + -3) + -2m + 7

Reorder the terms:
77 + 24 + -8m + -6m = 7m + -1(6m + -3) + -2m + 7

Combine like terms: 77 + 24 = 101
101 + -8m + -6m = 7m + -1(6m + -3) + -2m + 7

Combine like terms: -8m + -6m = -14m
101 + -14m = 7m + -1(6m + -3) + -2m + 7

Reorder the terms:
101 + -14m = 7m + -1(-3 + 6m) + -2m + 7
101 + -14m = 7m + (-3 * -1 + 6m * -1) + -2m + 7
101 + -14m = 7m + (3 + -6m) + -2m + 7

Reorder the terms:
101 + -14m = 3 + 7 + 7m + -6m + -2m

Combine like terms: 3 + 7 = 10
101 + -14m = 10 + 7m + -6m + -2m

Combine like terms: 7m + -6m = 1m
101 + -14m = 10 + 1m + -2m

Combine like terms: 1m + -2m = -1m
101 + -14m = 10 + -1m

Solving
101 + -14m = 10 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
101 + -14m + m = 10 + -1m + m

Combine like terms: -14m + m = -13m
101 + -13m = 10 + -1m + m

Combine like terms: -1m + m = 0
101 + -13m = 10 + 0
101 + -13m = 10

Add '-101' to each side of the equation.
101 + -101 + -13m = 10 + -101

Combine like terms: 101 + -101 = 0
0 + -13m = 10 + -101
-13m = 10 + -101

Combine like terms: 10 + -101 = -91
-13m = -91

Divide each side by '-13'.
m = 7

Simplifying
m = 7

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