-2m+2(7m+6)=5m-2

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Solution for -2m+2(7m+6)=5m-2 equation:


Simplifying
-2m + 2(7m + 6) = 5m + -2

Reorder the terms:
-2m + 2(6 + 7m) = 5m + -2
-2m + (6 * 2 + 7m * 2) = 5m + -2
-2m + (12 + 14m) = 5m + -2

Reorder the terms:
12 + -2m + 14m = 5m + -2

Combine like terms: -2m + 14m = 12m
12 + 12m = 5m + -2

Reorder the terms:
12 + 12m = -2 + 5m

Solving
12 + 12m = -2 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
12 + 12m + -5m = -2 + 5m + -5m

Combine like terms: 12m + -5m = 7m
12 + 7m = -2 + 5m + -5m

Combine like terms: 5m + -5m = 0
12 + 7m = -2 + 0
12 + 7m = -2

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

Combine like terms: 12 + -12 = 0
0 + 7m = -2 + -12
7m = -2 + -12

Combine like terms: -2 + -12 = -14
7m = -14

Divide each side by '7'.
m = -2

Simplifying
m = -2

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