6m-3(-4+m)=7m+32

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Solution for 6m-3(-4+m)=7m+32 equation: 


Simplifying
6m + -3(-4 + m) = 7m + 32
6m + (-4 * -3 + m * -3) = 7m + 32
6m + (12 + -3m) = 7m + 32

Reorder the terms:
12 + 6m + -3m = 7m + 32

Combine like terms: 6m + -3m = 3m
12 + 3m = 7m + 32

Reorder the terms:
12 + 3m = 32 + 7m

Solving
12 + 3m = 32 + 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.
12 + 3m + -7m = 32 + 7m + -7m

Combine like terms: 3m + -7m = -4m
12 + -4m = 32 + 7m + -7m

Combine like terms: 7m + -7m = 0
12 + -4m = 32 + 0
12 + -4m = 32

Add '-12' to each side of the equation.
12 + -12 + -4m = 32 + -12

Combine like terms: 12 + -12 = 0
0 + -4m = 32 + -12
-4m = 32 + -12

Combine like terms: 32 + -12 = 20
-4m = 20

Divide each side by '-4'.
m = -5

Simplifying
m = -5

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