-2(m+4)=3(5-m)-8

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Solution for -2(m+4)=3(5-m)-8 equation: 


Simplifying
-2(m + 4) = 3(5 + -1m) + -8

Reorder the terms:
-2(4 + m) = 3(5 + -1m) + -8
(4 * -2 + m * -2) = 3(5 + -1m) + -8
(-8 + -2m) = 3(5 + -1m) + -8
-8 + -2m = (5 * 3 + -1m * 3) + -8
-8 + -2m = (15 + -3m) + -8

Reorder the terms:
-8 + -2m = 15 + -8 + -3m

Combine like terms: 15 + -8 = 7
-8 + -2m = 7 + -3m

Solving
-8 + -2m = 7 + -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.
-8 + -2m + 3m = 7 + -3m + 3m

Combine like terms: -2m + 3m = 1m
-8 + 1m = 7 + -3m + 3m

Combine like terms: -3m + 3m = 0
-8 + 1m = 7 + 0
-8 + 1m = 7

Add '8' to each side of the equation.
-8 + 8 + 1m = 7 + 8

Combine like terms: -8 + 8 = 0
0 + 1m = 7 + 8
1m = 7 + 8

Combine like terms: 7 + 8 = 15
1m = 15

Divide each side by '1'.
m = 15

Simplifying
m = 15

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