-4m+10-9(m-1)=2m-(3m-2)-7m+7

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Solution for -4m+10-9(m-1)=2m-(3m-2)-7m+7 equation: 


Simplifying
-4m + 10 + -9(m + -1) = 2m + -1(3m + -2) + -7m + 7

Reorder the terms:
-4m + 10 + -9(-1 + m) = 2m + -1(3m + -2) + -7m + 7
-4m + 10 + (-1 * -9 + m * -9) = 2m + -1(3m + -2) + -7m + 7
-4m + 10 + (9 + -9m) = 2m + -1(3m + -2) + -7m + 7

Reorder the terms:
10 + 9 + -4m + -9m = 2m + -1(3m + -2) + -7m + 7

Combine like terms: 10 + 9 = 19
19 + -4m + -9m = 2m + -1(3m + -2) + -7m + 7

Combine like terms: -4m + -9m = -13m
19 + -13m = 2m + -1(3m + -2) + -7m + 7

Reorder the terms:
19 + -13m = 2m + -1(-2 + 3m) + -7m + 7
19 + -13m = 2m + (-2 * -1 + 3m * -1) + -7m + 7
19 + -13m = 2m + (2 + -3m) + -7m + 7

Reorder the terms:
19 + -13m = 2 + 7 + 2m + -3m + -7m

Combine like terms: 2 + 7 = 9
19 + -13m = 9 + 2m + -3m + -7m

Combine like terms: 2m + -3m = -1m
19 + -13m = 9 + -1m + -7m

Combine like terms: -1m + -7m = -8m
19 + -13m = 9 + -8m

Solving
19 + -13m = 9 + -8m

Solving for variable 'm'.

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

Add '8m' to each side of the equation.
19 + -13m + 8m = 9 + -8m + 8m

Combine like terms: -13m + 8m = -5m
19 + -5m = 9 + -8m + 8m

Combine like terms: -8m + 8m = 0
19 + -5m = 9 + 0
19 + -5m = 9

Add '-19' to each side of the equation.
19 + -19 + -5m = 9 + -19

Combine like terms: 19 + -19 = 0
0 + -5m = 9 + -19
-5m = 9 + -19

Combine like terms: 9 + -19 = -10
-5m = -10

Divide each side by '-5'.
m = 2

Simplifying
m = 2

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