8(m+2)=12+6(2m-12)

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Solution for 8(m+2)=12+6(2m-12) equation: 


Simplifying
8(m + 2) = 12 + 6(2m + -12)

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

Reorder the terms:
16 + 8m = 12 + 6(-12 + 2m)
16 + 8m = 12 + (-12 * 6 + 2m * 6)
16 + 8m = 12 + (-72 + 12m)

Combine like terms: 12 + -72 = -60
16 + 8m = -60 + 12m

Solving
16 + 8m = -60 + 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.
16 + 8m + -12m = -60 + 12m + -12m

Combine like terms: 8m + -12m = -4m
16 + -4m = -60 + 12m + -12m

Combine like terms: 12m + -12m = 0
16 + -4m = -60 + 0
16 + -4m = -60

Add '-16' to each side of the equation.
16 + -16 + -4m = -60 + -16

Combine like terms: 16 + -16 = 0
0 + -4m = -60 + -16
-4m = -60 + -16

Combine like terms: -60 + -16 = -76
-4m = -76

Divide each side by '-4'.
m = 19

Simplifying
m = 19

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