2(m+6)=3m-31

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Solution for 2(m+6)=3m-31 equation: 


Simplifying
2(m + 6) = 3m + -31

Reorder the terms:
2(6 + m) = 3m + -31
(6 * 2 + m * 2) = 3m + -31
(12 + 2m) = 3m + -31

Reorder the terms:
12 + 2m = -31 + 3m

Solving
12 + 2m = -31 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
12 + 2m + -3m = -31 + 3m + -3m

Combine like terms: 2m + -3m = -1m
12 + -1m = -31 + 3m + -3m

Combine like terms: 3m + -3m = 0
12 + -1m = -31 + 0
12 + -1m = -31

Add '-12' to each side of the equation.
12 + -12 + -1m = -31 + -12

Combine like terms: 12 + -12 = 0
0 + -1m = -31 + -12
-1m = -31 + -12

Combine like terms: -31 + -12 = -43
-1m = -43

Divide each side by '-1'.
m = 43

Simplifying
m = 43

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