15-(2m+6)=5+3m-16

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Solution for 15-(2m+6)=5+3m-16 equation:


Simplifying
15 + -1(2m + 6) = 5 + 3m + -16

Reorder the terms:
15 + -1(6 + 2m) = 5 + 3m + -16
15 + (6 * -1 + 2m * -1) = 5 + 3m + -16
15 + (-6 + -2m) = 5 + 3m + -16

Combine like terms: 15 + -6 = 9
9 + -2m = 5 + 3m + -16

Reorder the terms:
9 + -2m = 5 + -16 + 3m

Combine like terms: 5 + -16 = -11
9 + -2m = -11 + 3m

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

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

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

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

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

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

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

Simplifying
m = 4

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