2[3m-6+3m]=2m+2-4m

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Solution for 2[3m-6+3m]=2m+2-4m equation: 


Simplifying
2[3m + -6 + 3m] = 2m + 2 + -4m

Reorder the terms:
2[-6 + 3m + 3m] = 2m + 2 + -4m

Combine like terms: 3m + 3m = 6m
2[-6 + 6m] = 2m + 2 + -4m
[-6 * 2 + 6m * 2] = 2m + 2 + -4m
[-12 + 12m] = 2m + 2 + -4m

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

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

Solving
-12 + 12m = 2 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
-12 + 12m + 2m = 2 + -2m + 2m

Combine like terms: 12m + 2m = 14m
-12 + 14m = 2 + -2m + 2m

Combine like terms: -2m + 2m = 0
-12 + 14m = 2 + 0
-12 + 14m = 2

Add '12' to each side of the equation.
-12 + 12 + 14m = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 14m = 2 + 12
14m = 2 + 12

Combine like terms: 2 + 12 = 14
14m = 14

Divide each side by '14'.
m = 1

Simplifying
m = 1

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