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

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


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

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

Reorder the terms:
16 + 8m = 3(-6 + 2m)
16 + 8m = (-6 * 3 + 2m * 3)
16 + 8m = (-18 + 6m)

Solving
16 + 8m = -18 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
16 + 8m + -6m = -18 + 6m + -6m

Combine like terms: 8m + -6m = 2m
16 + 2m = -18 + 6m + -6m

Combine like terms: 6m + -6m = 0
16 + 2m = -18 + 0
16 + 2m = -18

Add '-16' to each side of the equation.
16 + -16 + 2m = -18 + -16

Combine like terms: 16 + -16 = 0
0 + 2m = -18 + -16
2m = -18 + -16

Combine like terms: -18 + -16 = -34
2m = -34

Divide each side by '2'.
m = -17

Simplifying
m = -17

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