10=-3(24-m)+2(m-4)

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Solution for 10=-3(24-m)+2(m-4) equation:


Simplifying
10 = -3(24 + -1m) + 2(m + -4)
10 = (24 * -3 + -1m * -3) + 2(m + -4)
10 = (-72 + 3m) + 2(m + -4)

Reorder the terms:
10 = -72 + 3m + 2(-4 + m)
10 = -72 + 3m + (-4 * 2 + m * 2)
10 = -72 + 3m + (-8 + 2m)

Reorder the terms:
10 = -72 + -8 + 3m + 2m

Combine like terms: -72 + -8 = -80
10 = -80 + 3m + 2m

Combine like terms: 3m + 2m = 5m
10 = -80 + 5m

Solving
10 = -80 + 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.
10 + -5m = -80 + 5m + -5m

Combine like terms: 5m + -5m = 0
10 + -5m = -80 + 0
10 + -5m = -80

Add '-10' to each side of the equation.
10 + -10 + -5m = -80 + -10

Combine like terms: 10 + -10 = 0
0 + -5m = -80 + -10
-5m = -80 + -10

Combine like terms: -80 + -10 = -90
-5m = -90

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

Simplifying
m = 18

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