12m+8m=9(4m-12)-4(m+6)

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


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

Combine like terms: 12m + 8m = 20m
20m = 9(4m + -12) + -4(m + 6)

Reorder the terms:
20m = 9(-12 + 4m) + -4(m + 6)
20m = (-12 * 9 + 4m * 9) + -4(m + 6)
20m = (-108 + 36m) + -4(m + 6)

Reorder the terms:
20m = -108 + 36m + -4(6 + m)
20m = -108 + 36m + (6 * -4 + m * -4)
20m = -108 + 36m + (-24 + -4m)

Reorder the terms:
20m = -108 + -24 + 36m + -4m

Combine like terms: -108 + -24 = -132
20m = -132 + 36m + -4m

Combine like terms: 36m + -4m = 32m
20m = -132 + 32m

Solving
20m = -132 + 32m

Solving for variable 'm'.

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

Add '-32m' to each side of the equation.
20m + -32m = -132 + 32m + -32m

Combine like terms: 20m + -32m = -12m
-12m = -132 + 32m + -32m

Combine like terms: 32m + -32m = 0
-12m = -132 + 0
-12m = -132

Divide each side by '-12'.
m = 11

Simplifying
m = 11

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