-7(-m-8)-4(3m-1)=-2m+4+7m

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Solution for -7(-m-8)-4(3m-1)=-2m+4+7m equation:


Simplifying
-7(-1m + -8) + -4(3m + -1) = -2m + 4 + 7m

Reorder the terms:
-7(-8 + -1m) + -4(3m + -1) = -2m + 4 + 7m
(-8 * -7 + -1m * -7) + -4(3m + -1) = -2m + 4 + 7m
(56 + 7m) + -4(3m + -1) = -2m + 4 + 7m

Reorder the terms:
56 + 7m + -4(-1 + 3m) = -2m + 4 + 7m
56 + 7m + (-1 * -4 + 3m * -4) = -2m + 4 + 7m
56 + 7m + (4 + -12m) = -2m + 4 + 7m

Reorder the terms:
56 + 4 + 7m + -12m = -2m + 4 + 7m

Combine like terms: 56 + 4 = 60
60 + 7m + -12m = -2m + 4 + 7m

Combine like terms: 7m + -12m = -5m
60 + -5m = -2m + 4 + 7m

Reorder the terms:
60 + -5m = 4 + -2m + 7m

Combine like terms: -2m + 7m = 5m
60 + -5m = 4 + 5m

Solving
60 + -5m = 4 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
60 + -5m + -5m = 4 + 5m + -5m

Combine like terms: -5m + -5m = -10m
60 + -10m = 4 + 5m + -5m

Combine like terms: 5m + -5m = 0
60 + -10m = 4 + 0
60 + -10m = 4

Add '-60' to each side of the equation.
60 + -60 + -10m = 4 + -60

Combine like terms: 60 + -60 = 0
0 + -10m = 4 + -60
-10m = 4 + -60

Combine like terms: 4 + -60 = -56
-10m = -56

Divide each side by '-10'.
m = 5.6

Simplifying
m = 5.6

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