-8+4m+2m+4=2(m-8)-5(m+12)

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Solution for -8+4m+2m+4=2(m-8)-5(m+12) equation:


Simplifying
-8 + 4m + 2m + 4 = 2(m + -8) + -5(m + 12)

Reorder the terms:
-8 + 4 + 4m + 2m = 2(m + -8) + -5(m + 12)

Combine like terms: -8 + 4 = -4
-4 + 4m + 2m = 2(m + -8) + -5(m + 12)

Combine like terms: 4m + 2m = 6m
-4 + 6m = 2(m + -8) + -5(m + 12)

Reorder the terms:
-4 + 6m = 2(-8 + m) + -5(m + 12)
-4 + 6m = (-8 * 2 + m * 2) + -5(m + 12)
-4 + 6m = (-16 + 2m) + -5(m + 12)

Reorder the terms:
-4 + 6m = -16 + 2m + -5(12 + m)
-4 + 6m = -16 + 2m + (12 * -5 + m * -5)
-4 + 6m = -16 + 2m + (-60 + -5m)

Reorder the terms:
-4 + 6m = -16 + -60 + 2m + -5m

Combine like terms: -16 + -60 = -76
-4 + 6m = -76 + 2m + -5m

Combine like terms: 2m + -5m = -3m
-4 + 6m = -76 + -3m

Solving
-4 + 6m = -76 + -3m

Solving for variable 'm'.

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

Add '3m' to each side of the equation.
-4 + 6m + 3m = -76 + -3m + 3m

Combine like terms: 6m + 3m = 9m
-4 + 9m = -76 + -3m + 3m

Combine like terms: -3m + 3m = 0
-4 + 9m = -76 + 0
-4 + 9m = -76

Add '4' to each side of the equation.
-4 + 4 + 9m = -76 + 4

Combine like terms: -4 + 4 = 0
0 + 9m = -76 + 4
9m = -76 + 4

Combine like terms: -76 + 4 = -72
9m = -72

Divide each side by '9'.
m = -8

Simplifying
m = -8

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