13-(3m+6)=4+2m-12

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Solution for 13-(3m+6)=4+2m-12 equation:


Simplifying
13 + -1(3m + 6) = 4 + 2m + -12

Reorder the terms:
13 + -1(6 + 3m) = 4 + 2m + -12
13 + (6 * -1 + 3m * -1) = 4 + 2m + -12
13 + (-6 + -3m) = 4 + 2m + -12

Combine like terms: 13 + -6 = 7
7 + -3m = 4 + 2m + -12

Reorder the terms:
7 + -3m = 4 + -12 + 2m

Combine like terms: 4 + -12 = -8
7 + -3m = -8 + 2m

Solving
7 + -3m = -8 + 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.
7 + -3m + -2m = -8 + 2m + -2m

Combine like terms: -3m + -2m = -5m
7 + -5m = -8 + 2m + -2m

Combine like terms: 2m + -2m = 0
7 + -5m = -8 + 0
7 + -5m = -8

Add '-7' to each side of the equation.
7 + -7 + -5m = -8 + -7

Combine like terms: 7 + -7 = 0
0 + -5m = -8 + -7
-5m = -8 + -7

Combine like terms: -8 + -7 = -15
-5m = -15

Divide each side by '-5'.
m = 3

Simplifying
m = 3

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