-6m+73-9(m-1)=7m-(3m-9)-8m+7

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Solution for -6m+73-9(m-1)=7m-(3m-9)-8m+7 equation: 


Simplifying
-6m + 73 + -9(m + -1) = 7m + -1(3m + -9) + -8m + 7

Reorder the terms:
-6m + 73 + -9(-1 + m) = 7m + -1(3m + -9) + -8m + 7
-6m + 73 + (-1 * -9 + m * -9) = 7m + -1(3m + -9) + -8m + 7
-6m + 73 + (9 + -9m) = 7m + -1(3m + -9) + -8m + 7

Reorder the terms:
73 + 9 + -6m + -9m = 7m + -1(3m + -9) + -8m + 7

Combine like terms: 73 + 9 = 82
82 + -6m + -9m = 7m + -1(3m + -9) + -8m + 7

Combine like terms: -6m + -9m = -15m
82 + -15m = 7m + -1(3m + -9) + -8m + 7

Reorder the terms:
82 + -15m = 7m + -1(-9 + 3m) + -8m + 7
82 + -15m = 7m + (-9 * -1 + 3m * -1) + -8m + 7
82 + -15m = 7m + (9 + -3m) + -8m + 7

Reorder the terms:
82 + -15m = 9 + 7 + 7m + -3m + -8m

Combine like terms: 9 + 7 = 16
82 + -15m = 16 + 7m + -3m + -8m

Combine like terms: 7m + -3m = 4m
82 + -15m = 16 + 4m + -8m

Combine like terms: 4m + -8m = -4m
82 + -15m = 16 + -4m

Solving
82 + -15m = 16 + -4m

Solving for variable 'm'.

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

Add '4m' to each side of the equation.
82 + -15m + 4m = 16 + -4m + 4m

Combine like terms: -15m + 4m = -11m
82 + -11m = 16 + -4m + 4m

Combine like terms: -4m + 4m = 0
82 + -11m = 16 + 0
82 + -11m = 16

Add '-82' to each side of the equation.
82 + -82 + -11m = 16 + -82

Combine like terms: 82 + -82 = 0
0 + -11m = 16 + -82
-11m = 16 + -82

Combine like terms: 16 + -82 = -66
-11m = -66

Divide each side by '-11'.
m = 6

Simplifying
m = 6

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