-7m+43-2(m-1)=5m-(3m-3)-6m+7

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Solution for -7m+43-2(m-1)=5m-(3m-3)-6m+7 equation: 


Simplifying
-7m + 43 + -2(m + -1) = 5m + -1(3m + -3) + -6m + 7

Reorder the terms:
-7m + 43 + -2(-1 + m) = 5m + -1(3m + -3) + -6m + 7
-7m + 43 + (-1 * -2 + m * -2) = 5m + -1(3m + -3) + -6m + 7
-7m + 43 + (2 + -2m) = 5m + -1(3m + -3) + -6m + 7

Reorder the terms:
43 + 2 + -7m + -2m = 5m + -1(3m + -3) + -6m + 7

Combine like terms: 43 + 2 = 45
45 + -7m + -2m = 5m + -1(3m + -3) + -6m + 7

Combine like terms: -7m + -2m = -9m
45 + -9m = 5m + -1(3m + -3) + -6m + 7

Reorder the terms:
45 + -9m = 5m + -1(-3 + 3m) + -6m + 7
45 + -9m = 5m + (-3 * -1 + 3m * -1) + -6m + 7
45 + -9m = 5m + (3 + -3m) + -6m + 7

Reorder the terms:
45 + -9m = 3 + 7 + 5m + -3m + -6m

Combine like terms: 3 + 7 = 10
45 + -9m = 10 + 5m + -3m + -6m

Combine like terms: 5m + -3m = 2m
45 + -9m = 10 + 2m + -6m

Combine like terms: 2m + -6m = -4m
45 + -9m = 10 + -4m

Solving
45 + -9m = 10 + -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.
45 + -9m + 4m = 10 + -4m + 4m

Combine like terms: -9m + 4m = -5m
45 + -5m = 10 + -4m + 4m

Combine like terms: -4m + 4m = 0
45 + -5m = 10 + 0
45 + -5m = 10

Add '-45' to each side of the equation.
45 + -45 + -5m = 10 + -45

Combine like terms: 45 + -45 = 0
0 + -5m = 10 + -45
-5m = 10 + -45

Combine like terms: 10 + -45 = -35
-5m = -35

Divide each side by '-5'.
m = 7

Simplifying
m = 7

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