(3m+4)=2(6m+8)

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Solution for (3m+4)=2(6m+8) equation:


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

Reorder the terms:
(4 + 3m) = 2(6m + 8)

Remove parenthesis around (4 + 3m)
4 + 3m = 2(6m + 8)

Reorder the terms:
4 + 3m = 2(8 + 6m)
4 + 3m = (8 * 2 + 6m * 2)
4 + 3m = (16 + 12m)

Solving
4 + 3m = 16 + 12m

Solving for variable 'm'.

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

Add '-12m' to each side of the equation.
4 + 3m + -12m = 16 + 12m + -12m

Combine like terms: 3m + -12m = -9m
4 + -9m = 16 + 12m + -12m

Combine like terms: 12m + -12m = 0
4 + -9m = 16 + 0
4 + -9m = 16

Add '-4' to each side of the equation.
4 + -4 + -9m = 16 + -4

Combine like terms: 4 + -4 = 0
0 + -9m = 16 + -4
-9m = 16 + -4

Combine like terms: 16 + -4 = 12
-9m = 12

Divide each side by '-9'.
m = -1.333333333

Simplifying
m = -1.333333333

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