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

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


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

Reorder the terms:
2(-6 + 3m + 3n) = 2m + 2 + -4m
(-6 * 2 + 3m * 2 + 3n * 2) = 2m + 2 + -4m
(-12 + 6m + 6n) = 2m + 2 + -4m

Reorder the terms:
-12 + 6m + 6n = 2 + 2m + -4m

Combine like terms: 2m + -4m = -2m
-12 + 6m + 6n = 2 + -2m

Solving
-12 + 6m + 6n = 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 + 6m + 2m + 6n = 2 + -2m + 2m

Combine like terms: 6m + 2m = 8m
-12 + 8m + 6n = 2 + -2m + 2m

Combine like terms: -2m + 2m = 0
-12 + 8m + 6n = 2 + 0
-12 + 8m + 6n = 2

Add '12' to each side of the equation.
-12 + 8m + 12 + 6n = 2 + 12

Reorder the terms:
-12 + 12 + 8m + 6n = 2 + 12

Combine like terms: -12 + 12 = 0
0 + 8m + 6n = 2 + 12
8m + 6n = 2 + 12

Combine like terms: 2 + 12 = 14
8m + 6n = 14

Add '-6n' to each side of the equation.
8m + 6n + -6n = 14 + -6n

Combine like terms: 6n + -6n = 0
8m + 0 = 14 + -6n
8m = 14 + -6n

Divide each side by '8'.
m = 1.75 + -0.75n

Simplifying
m = 1.75 + -0.75n

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