12=-3(24-m)+3(m-4)

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Solution for 12=-3(24-m)+3(m-4) equation:


Simplifying
12 = -3(24 + -1m) + 3(m + -4)
12 = (24 * -3 + -1m * -3) + 3(m + -4)
12 = (-72 + 3m) + 3(m + -4)

Reorder the terms:
12 = -72 + 3m + 3(-4 + m)
12 = -72 + 3m + (-4 * 3 + m * 3)
12 = -72 + 3m + (-12 + 3m)

Reorder the terms:
12 = -72 + -12 + 3m + 3m

Combine like terms: -72 + -12 = -84
12 = -84 + 3m + 3m

Combine like terms: 3m + 3m = 6m
12 = -84 + 6m

Solving
12 = -84 + 6m

Solving for variable 'm'.

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

Add '-6m' to each side of the equation.
12 + -6m = -84 + 6m + -6m

Combine like terms: 6m + -6m = 0
12 + -6m = -84 + 0
12 + -6m = -84

Add '-12' to each side of the equation.
12 + -12 + -6m = -84 + -12

Combine like terms: 12 + -12 = 0
0 + -6m = -84 + -12
-6m = -84 + -12

Combine like terms: -84 + -12 = -96
-6m = -96

Divide each side by '-6'.
m = 16

Simplifying
m = 16

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