30=-2(24-m)+3(m-4)

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Solution for 30=-2(24-m)+3(m-4) equation: 


Simplifying
30 = -2(24 + -1m) + 3(m + -4)
30 = (24 * -2 + -1m * -2) + 3(m + -4)
30 = (-48 + 2m) + 3(m + -4)

Reorder the terms:
30 = -48 + 2m + 3(-4 + m)
30 = -48 + 2m + (-4 * 3 + m * 3)
30 = -48 + 2m + (-12 + 3m)

Reorder the terms:
30 = -48 + -12 + 2m + 3m

Combine like terms: -48 + -12 = -60
30 = -60 + 2m + 3m

Combine like terms: 2m + 3m = 5m
30 = -60 + 5m

Solving
30 = -60 + 5m

Solving for variable 'm'.

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

Add '-5m' to each side of the equation.
30 + -5m = -60 + 5m + -5m

Combine like terms: 5m + -5m = 0
30 + -5m = -60 + 0
30 + -5m = -60

Add '-30' to each side of the equation.
30 + -30 + -5m = -60 + -30

Combine like terms: 30 + -30 = 0
0 + -5m = -60 + -30
-5m = -60 + -30

Combine like terms: -60 + -30 = -90
-5m = -90

Divide each side by '-5'.
m = 18

Simplifying
m = 18

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