-4m+40-4(m-4)=8m-(2m-5)-7m+2

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Solution for -4m+40-4(m-4)=8m-(2m-5)-7m+2 equation: 


Simplifying
-4m + 40 + -4(m + -4) = 8m + -1(2m + -5) + -7m + 2

Reorder the terms:
-4m + 40 + -4(-4 + m) = 8m + -1(2m + -5) + -7m + 2
-4m + 40 + (-4 * -4 + m * -4) = 8m + -1(2m + -5) + -7m + 2
-4m + 40 + (16 + -4m) = 8m + -1(2m + -5) + -7m + 2

Reorder the terms:
40 + 16 + -4m + -4m = 8m + -1(2m + -5) + -7m + 2

Combine like terms: 40 + 16 = 56
56 + -4m + -4m = 8m + -1(2m + -5) + -7m + 2

Combine like terms: -4m + -4m = -8m
56 + -8m = 8m + -1(2m + -5) + -7m + 2

Reorder the terms:
56 + -8m = 8m + -1(-5 + 2m) + -7m + 2
56 + -8m = 8m + (-5 * -1 + 2m * -1) + -7m + 2
56 + -8m = 8m + (5 + -2m) + -7m + 2

Reorder the terms:
56 + -8m = 5 + 2 + 8m + -2m + -7m

Combine like terms: 5 + 2 = 7
56 + -8m = 7 + 8m + -2m + -7m

Combine like terms: 8m + -2m = 6m
56 + -8m = 7 + 6m + -7m

Combine like terms: 6m + -7m = -1m
56 + -8m = 7 + -1m

Solving
56 + -8m = 7 + -1m

Solving for variable 'm'.

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

Add 'm' to each side of the equation.
56 + -8m + m = 7 + -1m + m

Combine like terms: -8m + m = -7m
56 + -7m = 7 + -1m + m

Combine like terms: -1m + m = 0
56 + -7m = 7 + 0
56 + -7m = 7

Add '-56' to each side of the equation.
56 + -56 + -7m = 7 + -56

Combine like terms: 56 + -56 = 0
0 + -7m = 7 + -56
-7m = 7 + -56

Combine like terms: 7 + -56 = -49
-7m = -49

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

Simplifying
m = 7

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