16-(3m+6)=3+2m-13

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Solution for 16-(3m+6)=3+2m-13 equation: 


Simplifying
16 + -1(3m + 6) = 3 + 2m + -13

Reorder the terms:
16 + -1(6 + 3m) = 3 + 2m + -13
16 + (6 * -1 + 3m * -1) = 3 + 2m + -13
16 + (-6 + -3m) = 3 + 2m + -13

Combine like terms: 16 + -6 = 10
10 + -3m = 3 + 2m + -13

Reorder the terms:
10 + -3m = 3 + -13 + 2m

Combine like terms: 3 + -13 = -10
10 + -3m = -10 + 2m

Solving
10 + -3m = -10 + 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.
10 + -3m + -2m = -10 + 2m + -2m

Combine like terms: -3m + -2m = -5m
10 + -5m = -10 + 2m + -2m

Combine like terms: 2m + -2m = 0
10 + -5m = -10 + 0
10 + -5m = -10

Add '-10' to each side of the equation.
10 + -10 + -5m = -10 + -10

Combine like terms: 10 + -10 = 0
0 + -5m = -10 + -10
-5m = -10 + -10

Combine like terms: -10 + -10 = -20
-5m = -20

Divide each side by '-5'.
m = 4

Simplifying
m = 4

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