-9m+85-3(m-2)=6m-(2m-5m)-3m+8

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Solution for -9m+85-3(m-2)=6m-(2m-5m)-3m+8 equation: 


Simplifying
-9m + 85 + -3(m + -2) = 6m + -1(2m + -5m) + -3m + 8

Reorder the terms:
-9m + 85 + -3(-2 + m) = 6m + -1(2m + -5m) + -3m + 8
-9m + 85 + (-2 * -3 + m * -3) = 6m + -1(2m + -5m) + -3m + 8
-9m + 85 + (6 + -3m) = 6m + -1(2m + -5m) + -3m + 8

Reorder the terms:
85 + 6 + -9m + -3m = 6m + -1(2m + -5m) + -3m + 8

Combine like terms: 85 + 6 = 91
91 + -9m + -3m = 6m + -1(2m + -5m) + -3m + 8

Combine like terms: -9m + -3m = -12m
91 + -12m = 6m + -1(2m + -5m) + -3m + 8

Combine like terms: 2m + -5m = -3m
91 + -12m = 6m + -1(-3m) + -3m + 8

Remove parenthesis around (-3m)
91 + -12m = 6m + -1 * -3m + -3m + 8

Multiply -1 * -3
91 + -12m = 6m + 3m + -3m + 8

Reorder the terms:
91 + -12m = 8 + 6m + 3m + -3m

Combine like terms: 6m + 3m = 9m
91 + -12m = 8 + 9m + -3m

Combine like terms: 9m + -3m = 6m
91 + -12m = 8 + 6m

Solving
91 + -12m = 8 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
91 + -12m + -6m = 8 + 6m + -6m

Combine like terms: -12m + -6m = -18m
91 + -18m = 8 + 6m + -6m

Combine like terms: 6m + -6m = 0
91 + -18m = 8 + 0
91 + -18m = 8

Add '-91' to each side of the equation.
91 + -91 + -18m = 8 + -91

Combine like terms: 91 + -91 = 0
0 + -18m = 8 + -91
-18m = 8 + -91

Combine like terms: 8 + -91 = -83
-18m = -83

Divide each side by '-18'.
m = 4.611111111

Simplifying
m = 4.611111111

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