-3(2m-8)=2(m+14)

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Solution for -3(2m-8)=2(m+14) equation:


Simplifying
-3(2m + -8) = 2(m + 14)

Reorder the terms:
-3(-8 + 2m) = 2(m + 14)
(-8 * -3 + 2m * -3) = 2(m + 14)
(24 + -6m) = 2(m + 14)

Reorder the terms:
24 + -6m = 2(14 + m)
24 + -6m = (14 * 2 + m * 2)
24 + -6m = (28 + 2m)

Solving
24 + -6m = 28 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
24 + -6m + -2m = 28 + 2m + -2m

Combine like terms: -6m + -2m = -8m
24 + -8m = 28 + 2m + -2m

Combine like terms: 2m + -2m = 0
24 + -8m = 28 + 0
24 + -8m = 28

Add '-24' to each side of the equation.
24 + -24 + -8m = 28 + -24

Combine like terms: 24 + -24 = 0
0 + -8m = 28 + -24
-8m = 28 + -24

Combine like terms: 28 + -24 = 4
-8m = 4

Divide each side by '-8'.
m = -0.5

Simplifying
m = -0.5

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