13-(3m+8)=3+3m-16

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Solution for 13-(3m+8)=3+3m-16 equation: 


Simplifying
13 + -1(3m + 8) = 3 + 3m + -16

Reorder the terms:
13 + -1(8 + 3m) = 3 + 3m + -16
13 + (8 * -1 + 3m * -1) = 3 + 3m + -16
13 + (-8 + -3m) = 3 + 3m + -16

Combine like terms: 13 + -8 = 5
5 + -3m = 3 + 3m + -16

Reorder the terms:
5 + -3m = 3 + -16 + 3m

Combine like terms: 3 + -16 = -13
5 + -3m = -13 + 3m

Solving
5 + -3m = -13 + 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.
5 + -3m + -3m = -13 + 3m + -3m

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

Combine like terms: 3m + -3m = 0
5 + -6m = -13 + 0
5 + -6m = -13

Add '-5' to each side of the equation.
5 + -5 + -6m = -13 + -5

Combine like terms: 5 + -5 = 0
0 + -6m = -13 + -5
-6m = -13 + -5

Combine like terms: -13 + -5 = -18
-6m = -18

Divide each side by '-6'.
m = 3

Simplifying
m = 3

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