15-(5m+6)=2+3m-17

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Solution for 15-(5m+6)=2+3m-17 equation:


Simplifying
15 + -1(5m + 6) = 2 + 3m + -17

Reorder the terms:
15 + -1(6 + 5m) = 2 + 3m + -17
15 + (6 * -1 + 5m * -1) = 2 + 3m + -17
15 + (-6 + -5m) = 2 + 3m + -17

Combine like terms: 15 + -6 = 9
9 + -5m = 2 + 3m + -17

Reorder the terms:
9 + -5m = 2 + -17 + 3m

Combine like terms: 2 + -17 = -15
9 + -5m = -15 + 3m

Solving
9 + -5m = -15 + 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 + -5m + -3m = -15 + 3m + -3m

Combine like terms: -5m + -3m = -8m
9 + -8m = -15 + 3m + -3m

Combine like terms: 3m + -3m = 0
9 + -8m = -15 + 0
9 + -8m = -15

Add '-9' to each side of the equation.
9 + -9 + -8m = -15 + -9

Combine like terms: 9 + -9 = 0
0 + -8m = -15 + -9
-8m = -15 + -9

Combine like terms: -15 + -9 = -24
-8m = -24

Divide each side by '-8'.
m = 3

Simplifying
m = 3

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