-4m-12-3(m-1)=2m-(6m-1)-9m+8

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Solution for -4m-12-3(m-1)=2m-(6m-1)-9m+8 equation: 


Simplifying
-4m + -12 + -3(m + -1) = 2m + -1(6m + -1) + -9m + 8

Reorder the terms:
-4m + -12 + -3(-1 + m) = 2m + -1(6m + -1) + -9m + 8
-4m + -12 + (-1 * -3 + m * -3) = 2m + -1(6m + -1) + -9m + 8
-4m + -12 + (3 + -3m) = 2m + -1(6m + -1) + -9m + 8

Reorder the terms:
-12 + 3 + -4m + -3m = 2m + -1(6m + -1) + -9m + 8

Combine like terms: -12 + 3 = -9
-9 + -4m + -3m = 2m + -1(6m + -1) + -9m + 8

Combine like terms: -4m + -3m = -7m
-9 + -7m = 2m + -1(6m + -1) + -9m + 8

Reorder the terms:
-9 + -7m = 2m + -1(-1 + 6m) + -9m + 8
-9 + -7m = 2m + (-1 * -1 + 6m * -1) + -9m + 8
-9 + -7m = 2m + (1 + -6m) + -9m + 8

Reorder the terms:
-9 + -7m = 1 + 8 + 2m + -6m + -9m

Combine like terms: 1 + 8 = 9
-9 + -7m = 9 + 2m + -6m + -9m

Combine like terms: 2m + -6m = -4m
-9 + -7m = 9 + -4m + -9m

Combine like terms: -4m + -9m = -13m
-9 + -7m = 9 + -13m

Solving
-9 + -7m = 9 + -13m

Solving for variable 'm'.

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

Add '13m' to each side of the equation.
-9 + -7m + 13m = 9 + -13m + 13m

Combine like terms: -7m + 13m = 6m
-9 + 6m = 9 + -13m + 13m

Combine like terms: -13m + 13m = 0
-9 + 6m = 9 + 0
-9 + 6m = 9

Add '9' to each side of the equation.
-9 + 9 + 6m = 9 + 9

Combine like terms: -9 + 9 = 0
0 + 6m = 9 + 9
6m = 9 + 9

Combine like terms: 9 + 9 = 18
6m = 18

Divide each side by '6'.
m = 3

Simplifying
m = 3

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