-8m+74-5(m-6)=9m-(6m-4)-2m+2

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Solution for -8m+74-5(m-6)=9m-(6m-4)-2m+2 equation: 


Simplifying
-8m + 74 + -5(m + -6) = 9m + -1(6m + -4) + -2m + 2

Reorder the terms:
-8m + 74 + -5(-6 + m) = 9m + -1(6m + -4) + -2m + 2
-8m + 74 + (-6 * -5 + m * -5) = 9m + -1(6m + -4) + -2m + 2
-8m + 74 + (30 + -5m) = 9m + -1(6m + -4) + -2m + 2

Reorder the terms:
74 + 30 + -8m + -5m = 9m + -1(6m + -4) + -2m + 2

Combine like terms: 74 + 30 = 104
104 + -8m + -5m = 9m + -1(6m + -4) + -2m + 2

Combine like terms: -8m + -5m = -13m
104 + -13m = 9m + -1(6m + -4) + -2m + 2

Reorder the terms:
104 + -13m = 9m + -1(-4 + 6m) + -2m + 2
104 + -13m = 9m + (-4 * -1 + 6m * -1) + -2m + 2
104 + -13m = 9m + (4 + -6m) + -2m + 2

Reorder the terms:
104 + -13m = 4 + 2 + 9m + -6m + -2m

Combine like terms: 4 + 2 = 6
104 + -13m = 6 + 9m + -6m + -2m

Combine like terms: 9m + -6m = 3m
104 + -13m = 6 + 3m + -2m

Combine like terms: 3m + -2m = 1m
104 + -13m = 6 + 1m

Solving
104 + -13m = 6 + 1m

Solving for variable 'm'.

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

Add '-1m' to each side of the equation.
104 + -13m + -1m = 6 + 1m + -1m

Combine like terms: -13m + -1m = -14m
104 + -14m = 6 + 1m + -1m

Combine like terms: 1m + -1m = 0
104 + -14m = 6 + 0
104 + -14m = 6

Add '-104' to each side of the equation.
104 + -104 + -14m = 6 + -104

Combine like terms: 104 + -104 = 0
0 + -14m = 6 + -104
-14m = 6 + -104

Combine like terms: 6 + -104 = -98
-14m = -98

Divide each side by '-14'.
m = 7

Simplifying
m = 7

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