-5(m+-3)+2(m+1)=15+-8

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Solution for -5(m+-3)+2(m+1)=15+-8 equation: 


Simplifying
-5(m + -3) + 2(m + 1) = 15 + -8

Reorder the terms:
-5(-3 + m) + 2(m + 1) = 15 + -8
(-3 * -5 + m * -5) + 2(m + 1) = 15 + -8
(15 + -5m) + 2(m + 1) = 15 + -8

Reorder the terms:
15 + -5m + 2(1 + m) = 15 + -8
15 + -5m + (1 * 2 + m * 2) = 15 + -8
15 + -5m + (2 + 2m) = 15 + -8

Reorder the terms:
15 + 2 + -5m + 2m = 15 + -8

Combine like terms: 15 + 2 = 17
17 + -5m + 2m = 15 + -8

Combine like terms: -5m + 2m = -3m
17 + -3m = 15 + -8

Combine like terms: 15 + -8 = 7
17 + -3m = 7

Solving
17 + -3m = 7

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-17' to each side of the equation.
17 + -17 + -3m = 7 + -17

Combine like terms: 17 + -17 = 0
0 + -3m = 7 + -17
-3m = 7 + -17

Combine like terms: 7 + -17 = -10
-3m = -10

Divide each side by '-3'.
m = 3.333333333

Simplifying
m = 3.333333333

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