-7m+31-5(m-2)=2m-(5m-7)-4m+4

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Solution for -7m+31-5(m-2)=2m-(5m-7)-4m+4 equation: 


Simplifying
-7m + 31 + -5(m + -2) = 2m + -1(5m + -7) + -4m + 4

Reorder the terms:
-7m + 31 + -5(-2 + m) = 2m + -1(5m + -7) + -4m + 4
-7m + 31 + (-2 * -5 + m * -5) = 2m + -1(5m + -7) + -4m + 4
-7m + 31 + (10 + -5m) = 2m + -1(5m + -7) + -4m + 4

Reorder the terms:
31 + 10 + -7m + -5m = 2m + -1(5m + -7) + -4m + 4

Combine like terms: 31 + 10 = 41
41 + -7m + -5m = 2m + -1(5m + -7) + -4m + 4

Combine like terms: -7m + -5m = -12m
41 + -12m = 2m + -1(5m + -7) + -4m + 4

Reorder the terms:
41 + -12m = 2m + -1(-7 + 5m) + -4m + 4
41 + -12m = 2m + (-7 * -1 + 5m * -1) + -4m + 4
41 + -12m = 2m + (7 + -5m) + -4m + 4

Reorder the terms:
41 + -12m = 7 + 4 + 2m + -5m + -4m

Combine like terms: 7 + 4 = 11
41 + -12m = 11 + 2m + -5m + -4m

Combine like terms: 2m + -5m = -3m
41 + -12m = 11 + -3m + -4m

Combine like terms: -3m + -4m = -7m
41 + -12m = 11 + -7m

Solving
41 + -12m = 11 + -7m

Solving for variable 'm'.

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

Add '7m' to each side of the equation.
41 + -12m + 7m = 11 + -7m + 7m

Combine like terms: -12m + 7m = -5m
41 + -5m = 11 + -7m + 7m

Combine like terms: -7m + 7m = 0
41 + -5m = 11 + 0
41 + -5m = 11

Add '-41' to each side of the equation.
41 + -41 + -5m = 11 + -41

Combine like terms: 41 + -41 = 0
0 + -5m = 11 + -41
-5m = 11 + -41

Combine like terms: 11 + -41 = -30
-5m = -30

Divide each side by '-5'.
m = 6

Simplifying
m = 6

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