16-(2m+5)=4+3m-13

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Solution for 16-(2m+5)=4+3m-13 equation: 


Simplifying
16 + -1(2m + 5) = 4 + 3m + -13

Reorder the terms:
16 + -1(5 + 2m) = 4 + 3m + -13
16 + (5 * -1 + 2m * -1) = 4 + 3m + -13
16 + (-5 + -2m) = 4 + 3m + -13

Combine like terms: 16 + -5 = 11
11 + -2m = 4 + 3m + -13

Reorder the terms:
11 + -2m = 4 + -13 + 3m

Combine like terms: 4 + -13 = -9
11 + -2m = -9 + 3m

Solving
11 + -2m = -9 + 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.
11 + -2m + -3m = -9 + 3m + -3m

Combine like terms: -2m + -3m = -5m
11 + -5m = -9 + 3m + -3m

Combine like terms: 3m + -3m = 0
11 + -5m = -9 + 0
11 + -5m = -9

Add '-11' to each side of the equation.
11 + -11 + -5m = -9 + -11

Combine like terms: 11 + -11 = 0
0 + -5m = -9 + -11
-5m = -9 + -11

Combine like terms: -9 + -11 = -20
-5m = -20

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

Simplifying
m = 4

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