2m-4(3m-2)=5(6+m)+7

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Solution for 2m-4(3m-2)=5(6+m)+7 equation: 


Simplifying
2m + -4(3m + -2) = 5(6 + m) + 7

Reorder the terms:
2m + -4(-2 + 3m) = 5(6 + m) + 7
2m + (-2 * -4 + 3m * -4) = 5(6 + m) + 7
2m + (8 + -12m) = 5(6 + m) + 7

Reorder the terms:
8 + 2m + -12m = 5(6 + m) + 7

Combine like terms: 2m + -12m = -10m
8 + -10m = 5(6 + m) + 7
8 + -10m = (6 * 5 + m * 5) + 7
8 + -10m = (30 + 5m) + 7

Reorder the terms:
8 + -10m = 30 + 7 + 5m

Combine like terms: 30 + 7 = 37
8 + -10m = 37 + 5m

Solving
8 + -10m = 37 + 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.
8 + -10m + -5m = 37 + 5m + -5m

Combine like terms: -10m + -5m = -15m
8 + -15m = 37 + 5m + -5m

Combine like terms: 5m + -5m = 0
8 + -15m = 37 + 0
8 + -15m = 37

Add '-8' to each side of the equation.
8 + -8 + -15m = 37 + -8

Combine like terms: 8 + -8 = 0
0 + -15m = 37 + -8
-15m = 37 + -8

Combine like terms: 37 + -8 = 29
-15m = 29

Divide each side by '-15'.
m = -1.933333333

Simplifying
m = -1.933333333

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