15-(2m+5)=5+3m-16

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Solution for 15-(2m+5)=5+3m-16 equation:


Simplifying
15 + -1(2m + 5) = 5 + 3m + -16

Reorder the terms:
15 + -1(5 + 2m) = 5 + 3m + -16
15 + (5 * -1 + 2m * -1) = 5 + 3m + -16
15 + (-5 + -2m) = 5 + 3m + -16

Combine like terms: 15 + -5 = 10
10 + -2m = 5 + 3m + -16

Reorder the terms:
10 + -2m = 5 + -16 + 3m

Combine like terms: 5 + -16 = -11
10 + -2m = -11 + 3m

Solving
10 + -2m = -11 + 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.
10 + -2m + -3m = -11 + 3m + -3m

Combine like terms: -2m + -3m = -5m
10 + -5m = -11 + 3m + -3m

Combine like terms: 3m + -3m = 0
10 + -5m = -11 + 0
10 + -5m = -11

Add '-10' to each side of the equation.
10 + -10 + -5m = -11 + -10

Combine like terms: 10 + -10 = 0
0 + -5m = -11 + -10
-5m = -11 + -10

Combine like terms: -11 + -10 = -21
-5m = -21

Divide each side by '-5'.
m = 4.2

Simplifying
m = 4.2

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