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

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


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

Reorder the terms:
12(9 + m) + 4(1 + -2m) = -3m + -9m
(9 * 12 + m * 12) + 4(1 + -2m) = -3m + -9m
(108 + 12m) + 4(1 + -2m) = -3m + -9m
108 + 12m + (1 * 4 + -2m * 4) = -3m + -9m
108 + 12m + (4 + -8m) = -3m + -9m

Reorder the terms:
108 + 4 + 12m + -8m = -3m + -9m

Combine like terms: 108 + 4 = 112
112 + 12m + -8m = -3m + -9m

Combine like terms: 12m + -8m = 4m
112 + 4m = -3m + -9m

Combine like terms: -3m + -9m = -12m
112 + 4m = -12m

Solving
112 + 4m = -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.
112 + 4m + 12m = -12m + 12m

Combine like terms: 4m + 12m = 16m
112 + 16m = -12m + 12m

Combine like terms: -12m + 12m = 0
112 + 16m = 0

Add '-112' to each side of the equation.
112 + -112 + 16m = 0 + -112

Combine like terms: 112 + -112 = 0
0 + 16m = 0 + -112
16m = 0 + -112

Combine like terms: 0 + -112 = -112
16m = -112

Divide each side by '16'.
m = -7

Simplifying
m = -7

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