-8m+37-2(m-1)=9m-(5m-8)-6m+7

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Solution for -8m+37-2(m-1)=9m-(5m-8)-6m+7 equation:


Simplifying
-8m + 37 + -2(m + -1) = 9m + -1(5m + -8) + -6m + 7

Reorder the terms:
-8m + 37 + -2(-1 + m) = 9m + -1(5m + -8) + -6m + 7
-8m + 37 + (-1 * -2 + m * -2) = 9m + -1(5m + -8) + -6m + 7
-8m + 37 + (2 + -2m) = 9m + -1(5m + -8) + -6m + 7

Reorder the terms:
37 + 2 + -8m + -2m = 9m + -1(5m + -8) + -6m + 7

Combine like terms: 37 + 2 = 39
39 + -8m + -2m = 9m + -1(5m + -8) + -6m + 7

Combine like terms: -8m + -2m = -10m
39 + -10m = 9m + -1(5m + -8) + -6m + 7

Reorder the terms:
39 + -10m = 9m + -1(-8 + 5m) + -6m + 7
39 + -10m = 9m + (-8 * -1 + 5m * -1) + -6m + 7
39 + -10m = 9m + (8 + -5m) + -6m + 7

Reorder the terms:
39 + -10m = 8 + 7 + 9m + -5m + -6m

Combine like terms: 8 + 7 = 15
39 + -10m = 15 + 9m + -5m + -6m

Combine like terms: 9m + -5m = 4m
39 + -10m = 15 + 4m + -6m

Combine like terms: 4m + -6m = -2m
39 + -10m = 15 + -2m

Solving
39 + -10m = 15 + -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
39 + -10m + 2m = 15 + -2m + 2m

Combine like terms: -10m + 2m = -8m
39 + -8m = 15 + -2m + 2m

Combine like terms: -2m + 2m = 0
39 + -8m = 15 + 0
39 + -8m = 15

Add '-39' to each side of the equation.
39 + -39 + -8m = 15 + -39

Combine like terms: 39 + -39 = 0
0 + -8m = 15 + -39
-8m = 15 + -39

Combine like terms: 15 + -39 = -24
-8m = -24

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

Simplifying
m = 3

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