12m+22-3m=2m-13

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Solution for 12m+22-3m=2m-13 equation:


Simplifying
12m + 22 + -3m = 2m + -13

Reorder the terms:
22 + 12m + -3m = 2m + -13

Combine like terms: 12m + -3m = 9m
22 + 9m = 2m + -13

Reorder the terms:
22 + 9m = -13 + 2m

Solving
22 + 9m = -13 + 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.
22 + 9m + -2m = -13 + 2m + -2m

Combine like terms: 9m + -2m = 7m
22 + 7m = -13 + 2m + -2m

Combine like terms: 2m + -2m = 0
22 + 7m = -13 + 0
22 + 7m = -13

Add '-22' to each side of the equation.
22 + -22 + 7m = -13 + -22

Combine like terms: 22 + -22 = 0
0 + 7m = -13 + -22
7m = -13 + -22

Combine like terms: -13 + -22 = -35
7m = -35

Divide each side by '7'.
m = -5

Simplifying
m = -5

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