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

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


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

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

Reorder the terms:
16 + 6m = 4(-6 + 2m)
16 + 6m = (-6 * 4 + 2m * 4)
16 + 6m = (-24 + 8m)

Solving
16 + 6m = -24 + 8m

Solving for variable 'm'.

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

Add '-8m' to each side of the equation.
16 + 6m + -8m = -24 + 8m + -8m

Combine like terms: 6m + -8m = -2m
16 + -2m = -24 + 8m + -8m

Combine like terms: 8m + -8m = 0
16 + -2m = -24 + 0
16 + -2m = -24

Add '-16' to each side of the equation.
16 + -16 + -2m = -24 + -16

Combine like terms: 16 + -16 = 0
0 + -2m = -24 + -16
-2m = -24 + -16

Combine like terms: -24 + -16 = -40
-2m = -40

Divide each side by '-2'.
m = 20

Simplifying
m = 20

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