-4m+31-8(m-1)=7m-(8m-1)-6m+8

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Solution for -4m+31-8(m-1)=7m-(8m-1)-6m+8 equation: 


Simplifying
-4m + 31 + -8(m + -1) = 7m + -1(8m + -1) + -6m + 8

Reorder the terms:
-4m + 31 + -8(-1 + m) = 7m + -1(8m + -1) + -6m + 8
-4m + 31 + (-1 * -8 + m * -8) = 7m + -1(8m + -1) + -6m + 8
-4m + 31 + (8 + -8m) = 7m + -1(8m + -1) + -6m + 8

Reorder the terms:
31 + 8 + -4m + -8m = 7m + -1(8m + -1) + -6m + 8

Combine like terms: 31 + 8 = 39
39 + -4m + -8m = 7m + -1(8m + -1) + -6m + 8

Combine like terms: -4m + -8m = -12m
39 + -12m = 7m + -1(8m + -1) + -6m + 8

Reorder the terms:
39 + -12m = 7m + -1(-1 + 8m) + -6m + 8
39 + -12m = 7m + (-1 * -1 + 8m * -1) + -6m + 8
39 + -12m = 7m + (1 + -8m) + -6m + 8

Reorder the terms:
39 + -12m = 1 + 8 + 7m + -8m + -6m

Combine like terms: 1 + 8 = 9
39 + -12m = 9 + 7m + -8m + -6m

Combine like terms: 7m + -8m = -1m
39 + -12m = 9 + -1m + -6m

Combine like terms: -1m + -6m = -7m
39 + -12m = 9 + -7m

Solving
39 + -12m = 9 + -7m

Solving for variable 'm'.

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

Add '7m' to each side of the equation.
39 + -12m + 7m = 9 + -7m + 7m

Combine like terms: -12m + 7m = -5m
39 + -5m = 9 + -7m + 7m

Combine like terms: -7m + 7m = 0
39 + -5m = 9 + 0
39 + -5m = 9

Add '-39' to each side of the equation.
39 + -39 + -5m = 9 + -39

Combine like terms: 39 + -39 = 0
0 + -5m = 9 + -39
-5m = 9 + -39

Combine like terms: 9 + -39 = -30
-5m = -30

Divide each side by '-5'.
m = 6

Simplifying
m = 6

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