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

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


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

Reorder the terms:
4(4 + 3m) = 2(6m + m)
(4 * 4 + 3m * 4) = 2(6m + m)
(16 + 12m) = 2(6m + m)

Combine like terms: 6m + m = 7m
16 + 12m = 2(7m)

Remove parenthesis around (7m)
16 + 12m = 2 * 7m

Multiply 2 * 7
16 + 12m = 14m

Solving
16 + 12m = 14m

Solving for variable 'm'.

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

Add '-14m' to each side of the equation.
16 + 12m + -14m = 14m + -14m

Combine like terms: 12m + -14m = -2m
16 + -2m = 14m + -14m

Combine like terms: 14m + -14m = 0
16 + -2m = 0

Add '-16' to each side of the equation.
16 + -16 + -2m = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -2m = 0 + -16
-2m = 0 + -16

Combine like terms: 0 + -16 = -16
-2m = -16

Divide each side by '-2'.
m = 8

Simplifying
m = 8

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