-12(1+6m)-4=-12(5m+8)+8m

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Solution for -12(1+6m)-4=-12(5m+8)+8m equation:


Simplifying
-12(1 + 6m) + -4 = -12(5m + 8) + 8m
(1 * -12 + 6m * -12) + -4 = -12(5m + 8) + 8m
(-12 + -72m) + -4 = -12(5m + 8) + 8m

Reorder the terms:
-12 + -4 + -72m = -12(5m + 8) + 8m

Combine like terms: -12 + -4 = -16
-16 + -72m = -12(5m + 8) + 8m

Reorder the terms:
-16 + -72m = -12(8 + 5m) + 8m
-16 + -72m = (8 * -12 + 5m * -12) + 8m
-16 + -72m = (-96 + -60m) + 8m

Combine like terms: -60m + 8m = -52m
-16 + -72m = -96 + -52m

Solving
-16 + -72m = -96 + -52m

Solving for variable 'm'.

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

Add '52m' to each side of the equation.
-16 + -72m + 52m = -96 + -52m + 52m

Combine like terms: -72m + 52m = -20m
-16 + -20m = -96 + -52m + 52m

Combine like terms: -52m + 52m = 0
-16 + -20m = -96 + 0
-16 + -20m = -96

Add '16' to each side of the equation.
-16 + 16 + -20m = -96 + 16

Combine like terms: -16 + 16 = 0
0 + -20m = -96 + 16
-20m = -96 + 16

Combine like terms: -96 + 16 = -80
-20m = -80

Divide each side by '-20'.
m = 4

Simplifying
m = 4

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