-2m+24-5(m-3)=8m-(6m-6)-5m+9

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Solution for -2m+24-5(m-3)=8m-(6m-6)-5m+9 equation: 


Simplifying
-2m + 24 + -5(m + -3) = 8m + -1(6m + -6) + -5m + 9

Reorder the terms:
-2m + 24 + -5(-3 + m) = 8m + -1(6m + -6) + -5m + 9
-2m + 24 + (-3 * -5 + m * -5) = 8m + -1(6m + -6) + -5m + 9
-2m + 24 + (15 + -5m) = 8m + -1(6m + -6) + -5m + 9

Reorder the terms:
24 + 15 + -2m + -5m = 8m + -1(6m + -6) + -5m + 9

Combine like terms: 24 + 15 = 39
39 + -2m + -5m = 8m + -1(6m + -6) + -5m + 9

Combine like terms: -2m + -5m = -7m
39 + -7m = 8m + -1(6m + -6) + -5m + 9

Reorder the terms:
39 + -7m = 8m + -1(-6 + 6m) + -5m + 9
39 + -7m = 8m + (-6 * -1 + 6m * -1) + -5m + 9
39 + -7m = 8m + (6 + -6m) + -5m + 9

Reorder the terms:
39 + -7m = 6 + 9 + 8m + -6m + -5m

Combine like terms: 6 + 9 = 15
39 + -7m = 15 + 8m + -6m + -5m

Combine like terms: 8m + -6m = 2m
39 + -7m = 15 + 2m + -5m

Combine like terms: 2m + -5m = -3m
39 + -7m = 15 + -3m

Solving
39 + -7m = 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.
39 + -7m + 3m = 15 + -3m + 3m

Combine like terms: -7m + 3m = -4m
39 + -4m = 15 + -3m + 3m

Combine like terms: -3m + 3m = 0
39 + -4m = 15 + 0
39 + -4m = 15

Add '-39' to each side of the equation.
39 + -39 + -4m = 15 + -39

Combine like terms: 39 + -39 = 0
0 + -4m = 15 + -39
-4m = 15 + -39

Combine like terms: 15 + -39 = -24
-4m = -24

Divide each side by '-4'.
m = 6

Simplifying
m = 6

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