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

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Solution for -8m+74-8(m-1)=9m-(6m-6)-2m+8 equation: 


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

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

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

Combine like terms: 74 + 8 = 82
82 + -8m + -8m = 9m + -1(6m + -6) + -2m + 8

Combine like terms: -8m + -8m = -16m
82 + -16m = 9m + -1(6m + -6) + -2m + 8

Reorder the terms:
82 + -16m = 9m + -1(-6 + 6m) + -2m + 8
82 + -16m = 9m + (-6 * -1 + 6m * -1) + -2m + 8
82 + -16m = 9m + (6 + -6m) + -2m + 8

Reorder the terms:
82 + -16m = 6 + 8 + 9m + -6m + -2m

Combine like terms: 6 + 8 = 14
82 + -16m = 14 + 9m + -6m + -2m

Combine like terms: 9m + -6m = 3m
82 + -16m = 14 + 3m + -2m

Combine like terms: 3m + -2m = 1m
82 + -16m = 14 + 1m

Solving
82 + -16m = 14 + 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.
82 + -16m + -1m = 14 + 1m + -1m

Combine like terms: -16m + -1m = -17m
82 + -17m = 14 + 1m + -1m

Combine like terms: 1m + -1m = 0
82 + -17m = 14 + 0
82 + -17m = 14

Add '-82' to each side of the equation.
82 + -82 + -17m = 14 + -82

Combine like terms: 82 + -82 = 0
0 + -17m = 14 + -82
-17m = 14 + -82

Combine like terms: 14 + -82 = -68
-17m = -68

Divide each side by '-17'.
m = 4

Simplifying
m = 4

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