-3(-4-6m)=-8+7(m-5)

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Solution for -3(-4-6m)=-8+7(m-5) equation: 


Simplifying
-3(-4 + -6m) = -8 + 7(m + -5)
(-4 * -3 + -6m * -3) = -8 + 7(m + -5)
(12 + 18m) = -8 + 7(m + -5)

Reorder the terms:
12 + 18m = -8 + 7(-5 + m)
12 + 18m = -8 + (-5 * 7 + m * 7)
12 + 18m = -8 + (-35 + 7m)

Combine like terms: -8 + -35 = -43
12 + 18m = -43 + 7m

Solving
12 + 18m = -43 + 7m

Solving for variable 'm'.

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

Add '-7m' to each side of the equation.
12 + 18m + -7m = -43 + 7m + -7m

Combine like terms: 18m + -7m = 11m
12 + 11m = -43 + 7m + -7m

Combine like terms: 7m + -7m = 0
12 + 11m = -43 + 0
12 + 11m = -43

Add '-12' to each side of the equation.
12 + -12 + 11m = -43 + -12

Combine like terms: 12 + -12 = 0
0 + 11m = -43 + -12
11m = -43 + -12

Combine like terms: -43 + -12 = -55
11m = -55

Divide each side by '11'.
m = -5

Simplifying
m = -5

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