-6m+71-6(m-3)=8m-(5m-4)-2m+7

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Solution for -6m+71-6(m-3)=8m-(5m-4)-2m+7 equation:


Simplifying
-6m + 71 + -6(m + -3) = 8m + -1(5m + -4) + -2m + 7

Reorder the terms:
-6m + 71 + -6(-3 + m) = 8m + -1(5m + -4) + -2m + 7
-6m + 71 + (-3 * -6 + m * -6) = 8m + -1(5m + -4) + -2m + 7
-6m + 71 + (18 + -6m) = 8m + -1(5m + -4) + -2m + 7

Reorder the terms:
71 + 18 + -6m + -6m = 8m + -1(5m + -4) + -2m + 7

Combine like terms: 71 + 18 = 89
89 + -6m + -6m = 8m + -1(5m + -4) + -2m + 7

Combine like terms: -6m + -6m = -12m
89 + -12m = 8m + -1(5m + -4) + -2m + 7

Reorder the terms:
89 + -12m = 8m + -1(-4 + 5m) + -2m + 7
89 + -12m = 8m + (-4 * -1 + 5m * -1) + -2m + 7
89 + -12m = 8m + (4 + -5m) + -2m + 7

Reorder the terms:
89 + -12m = 4 + 7 + 8m + -5m + -2m

Combine like terms: 4 + 7 = 11
89 + -12m = 11 + 8m + -5m + -2m

Combine like terms: 8m + -5m = 3m
89 + -12m = 11 + 3m + -2m

Combine like terms: 3m + -2m = 1m
89 + -12m = 11 + 1m

Solving
89 + -12m = 11 + 1m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
89 + -12m + -1m = 11 + 1m + -1m

Combine like terms: -12m + -1m = -13m
89 + -13m = 11 + 1m + -1m

Combine like terms: 1m + -1m = 0
89 + -13m = 11 + 0
89 + -13m = 11

Add '-89' to each side of the equation.
89 + -89 + -13m = 11 + -89

Combine like terms: 89 + -89 = 0
0 + -13m = 11 + -89
-13m = 11 + -89

Combine like terms: 11 + -89 = -78
-13m = -78

Divide each side by '-13'.
m = 6

Simplifying
m = 6

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