36=-3(22-m)+3(m-4)

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Solution for 36=-3(22-m)+3(m-4) equation:


Simplifying
36 = -3(22 + -1m) + 3(m + -4)
36 = (22 * -3 + -1m * -3) + 3(m + -4)
36 = (-66 + 3m) + 3(m + -4)

Reorder the terms:
36 = -66 + 3m + 3(-4 + m)
36 = -66 + 3m + (-4 * 3 + m * 3)
36 = -66 + 3m + (-12 + 3m)

Reorder the terms:
36 = -66 + -12 + 3m + 3m

Combine like terms: -66 + -12 = -78
36 = -78 + 3m + 3m

Combine like terms: 3m + 3m = 6m
36 = -78 + 6m

Solving
36 = -78 + 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.
36 + -6m = -78 + 6m + -6m

Combine like terms: 6m + -6m = 0
36 + -6m = -78 + 0
36 + -6m = -78

Add '-36' to each side of the equation.
36 + -36 + -6m = -78 + -36

Combine like terms: 36 + -36 = 0
0 + -6m = -78 + -36
-6m = -78 + -36

Combine like terms: -78 + -36 = -114
-6m = -114

Divide each side by '-6'.
m = 19

Simplifying
m = 19

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