2(6-m)=3(m-4)+4

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Solution for 2(6-m)=3(m-4)+4 equation: 


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

Reorder the terms:
12 + -2m = 3(-4 + m) + 4
12 + -2m = (-4 * 3 + m * 3) + 4
12 + -2m = (-12 + 3m) + 4

Reorder the terms:
12 + -2m = -12 + 4 + 3m

Combine like terms: -12 + 4 = -8
12 + -2m = -8 + 3m

Solving
12 + -2m = -8 + 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.
12 + -2m + -3m = -8 + 3m + -3m

Combine like terms: -2m + -3m = -5m
12 + -5m = -8 + 3m + -3m

Combine like terms: 3m + -3m = 0
12 + -5m = -8 + 0
12 + -5m = -8

Add '-12' to each side of the equation.
12 + -12 + -5m = -8 + -12

Combine like terms: 12 + -12 = 0
0 + -5m = -8 + -12
-5m = -8 + -12

Combine like terms: -8 + -12 = -20
-5m = -20

Divide each side by '-5'.
m = 4

Simplifying
m = 4

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