20=-3(22-m)+2(m-2)

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Solution for 20=-3(22-m)+2(m-2) equation: 


Simplifying
20 = -3(22 + -1m) + 2(m + -2)
20 = (22 * -3 + -1m * -3) + 2(m + -2)
20 = (-66 + 3m) + 2(m + -2)

Reorder the terms:
20 = -66 + 3m + 2(-2 + m)
20 = -66 + 3m + (-2 * 2 + m * 2)
20 = -66 + 3m + (-4 + 2m)

Reorder the terms:
20 = -66 + -4 + 3m + 2m

Combine like terms: -66 + -4 = -70
20 = -70 + 3m + 2m

Combine like terms: 3m + 2m = 5m
20 = -70 + 5m

Solving
20 = -70 + 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.
20 + -5m = -70 + 5m + -5m

Combine like terms: 5m + -5m = 0
20 + -5m = -70 + 0
20 + -5m = -70

Add '-20' to each side of the equation.
20 + -20 + -5m = -70 + -20

Combine like terms: 20 + -20 = 0
0 + -5m = -70 + -20
-5m = -70 + -20

Combine like terms: -70 + -20 = -90
-5m = -90

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

Simplifying
m = 18

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