2-7m=-6(-3m+6)-6m

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Solution for 2-7m=-6(-3m+6)-6m equation: 


Simplifying
2 + -7m = -6(-3m + 6) + -6m

Reorder the terms:
2 + -7m = -6(6 + -3m) + -6m
2 + -7m = (6 * -6 + -3m * -6) + -6m
2 + -7m = (-36 + 18m) + -6m

Combine like terms: 18m + -6m = 12m
2 + -7m = -36 + 12m

Solving
2 + -7m = -36 + 12m

Solving for variable 'm'.

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

Add '-12m' to each side of the equation.
2 + -7m + -12m = -36 + 12m + -12m

Combine like terms: -7m + -12m = -19m
2 + -19m = -36 + 12m + -12m

Combine like terms: 12m + -12m = 0
2 + -19m = -36 + 0
2 + -19m = -36

Add '-2' to each side of the equation.
2 + -2 + -19m = -36 + -2

Combine like terms: 2 + -2 = 0
0 + -19m = -36 + -2
-19m = -36 + -2

Combine like terms: -36 + -2 = -38
-19m = -38

Divide each side by '-19'.
m = 2

Simplifying
m = 2

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