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

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


Simplifying
2(8 + 2m) + 3m = -3(6 + -8m)
(8 * 2 + 2m * 2) + 3m = -3(6 + -8m)
(16 + 4m) + 3m = -3(6 + -8m)

Combine like terms: 4m + 3m = 7m
16 + 7m = -3(6 + -8m)
16 + 7m = (6 * -3 + -8m * -3)
16 + 7m = (-18 + 24m)

Solving
16 + 7m = -18 + 24m

Solving for variable 'm'.

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

Add '-24m' to each side of the equation.
16 + 7m + -24m = -18 + 24m + -24m

Combine like terms: 7m + -24m = -17m
16 + -17m = -18 + 24m + -24m

Combine like terms: 24m + -24m = 0
16 + -17m = -18 + 0
16 + -17m = -18

Add '-16' to each side of the equation.
16 + -16 + -17m = -18 + -16

Combine like terms: 16 + -16 = 0
0 + -17m = -18 + -16
-17m = -18 + -16

Combine like terms: -18 + -16 = -34
-17m = -34

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

Simplifying
m = 2

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