13-(4m+6)=5+3m-12

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Solution for 13-(4m+6)=5+3m-12 equation: 


Simplifying
13 + -1(4m + 6) = 5 + 3m + -12

Reorder the terms:
13 + -1(6 + 4m) = 5 + 3m + -12
13 + (6 * -1 + 4m * -1) = 5 + 3m + -12
13 + (-6 + -4m) = 5 + 3m + -12

Combine like terms: 13 + -6 = 7
7 + -4m = 5 + 3m + -12

Reorder the terms:
7 + -4m = 5 + -12 + 3m

Combine like terms: 5 + -12 = -7
7 + -4m = -7 + 3m

Solving
7 + -4m = -7 + 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.
7 + -4m + -3m = -7 + 3m + -3m

Combine like terms: -4m + -3m = -7m
7 + -7m = -7 + 3m + -3m

Combine like terms: 3m + -3m = 0
7 + -7m = -7 + 0
7 + -7m = -7

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

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

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

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

Simplifying
m = 2

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