-5m+6=-8m+3(-8-4m)

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Solution for -5m+6=-8m+3(-8-4m) equation:


Simplifying
-5m + 6 = -8m + 3(-8 + -4m)

Reorder the terms:
6 + -5m = -8m + 3(-8 + -4m)
6 + -5m = -8m + (-8 * 3 + -4m * 3)
6 + -5m = -8m + (-24 + -12m)

Reorder the terms:
6 + -5m = -24 + -8m + -12m

Combine like terms: -8m + -12m = -20m
6 + -5m = -24 + -20m

Solving
6 + -5m = -24 + -20m

Solving for variable 'm'.

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

Add '20m' to each side of the equation.
6 + -5m + 20m = -24 + -20m + 20m

Combine like terms: -5m + 20m = 15m
6 + 15m = -24 + -20m + 20m

Combine like terms: -20m + 20m = 0
6 + 15m = -24 + 0
6 + 15m = -24

Add '-6' to each side of the equation.
6 + -6 + 15m = -24 + -6

Combine like terms: 6 + -6 = 0
0 + 15m = -24 + -6
15m = -24 + -6

Combine like terms: -24 + -6 = -30
15m = -30

Divide each side by '15'.
m = -2

Simplifying
m = -2

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