-5m+7-3(m-1)=2m-(9m-9)-4m+7

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Solution for -5m+7-3(m-1)=2m-(9m-9)-4m+7 equation: 


Simplifying
-5m + 7 + -3(m + -1) = 2m + -1(9m + -9) + -4m + 7

Reorder the terms:
-5m + 7 + -3(-1 + m) = 2m + -1(9m + -9) + -4m + 7
-5m + 7 + (-1 * -3 + m * -3) = 2m + -1(9m + -9) + -4m + 7
-5m + 7 + (3 + -3m) = 2m + -1(9m + -9) + -4m + 7

Reorder the terms:
7 + 3 + -5m + -3m = 2m + -1(9m + -9) + -4m + 7

Combine like terms: 7 + 3 = 10
10 + -5m + -3m = 2m + -1(9m + -9) + -4m + 7

Combine like terms: -5m + -3m = -8m
10 + -8m = 2m + -1(9m + -9) + -4m + 7

Reorder the terms:
10 + -8m = 2m + -1(-9 + 9m) + -4m + 7
10 + -8m = 2m + (-9 * -1 + 9m * -1) + -4m + 7
10 + -8m = 2m + (9 + -9m) + -4m + 7

Reorder the terms:
10 + -8m = 9 + 7 + 2m + -9m + -4m

Combine like terms: 9 + 7 = 16
10 + -8m = 16 + 2m + -9m + -4m

Combine like terms: 2m + -9m = -7m
10 + -8m = 16 + -7m + -4m

Combine like terms: -7m + -4m = -11m
10 + -8m = 16 + -11m

Solving
10 + -8m = 16 + -11m

Solving for variable 'm'.

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

Add '11m' to each side of the equation.
10 + -8m + 11m = 16 + -11m + 11m

Combine like terms: -8m + 11m = 3m
10 + 3m = 16 + -11m + 11m

Combine like terms: -11m + 11m = 0
10 + 3m = 16 + 0
10 + 3m = 16

Add '-10' to each side of the equation.
10 + -10 + 3m = 16 + -10

Combine like terms: 10 + -10 = 0
0 + 3m = 16 + -10
3m = 16 + -10

Combine like terms: 16 + -10 = 6
3m = 6

Divide each side by '3'.
m = 2

Simplifying
m = 2

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