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

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


Simplifying
6m + 2(4 + -2m) = 3(m + 4)
6m + (4 * 2 + -2m * 2) = 3(m + 4)
6m + (8 + -4m) = 3(m + 4)

Reorder the terms:
8 + 6m + -4m = 3(m + 4)

Combine like terms: 6m + -4m = 2m
8 + 2m = 3(m + 4)

Reorder the terms:
8 + 2m = 3(4 + m)
8 + 2m = (4 * 3 + m * 3)
8 + 2m = (12 + 3m)

Solving
8 + 2m = 12 + 3m

Solving for variable 'm'.

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

Add '-3m' to each side of the equation.
8 + 2m + -3m = 12 + 3m + -3m

Combine like terms: 2m + -3m = -1m
8 + -1m = 12 + 3m + -3m

Combine like terms: 3m + -3m = 0
8 + -1m = 12 + 0
8 + -1m = 12

Add '-8' to each side of the equation.
8 + -8 + -1m = 12 + -8

Combine like terms: 8 + -8 = 0
0 + -1m = 12 + -8
-1m = 12 + -8

Combine like terms: 12 + -8 = 4
-1m = 4

Divide each side by '-1'.
m = -4

Simplifying
m = -4

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