6=-3(22-m)+2(m-4)

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Solution for 6=-3(22-m)+2(m-4) equation: 


Simplifying
6 = -3(22 + -1m) + 2(m + -4)
6 = (22 * -3 + -1m * -3) + 2(m + -4)
6 = (-66 + 3m) + 2(m + -4)

Reorder the terms:
6 = -66 + 3m + 2(-4 + m)
6 = -66 + 3m + (-4 * 2 + m * 2)
6 = -66 + 3m + (-8 + 2m)

Reorder the terms:
6 = -66 + -8 + 3m + 2m

Combine like terms: -66 + -8 = -74
6 = -74 + 3m + 2m

Combine like terms: 3m + 2m = 5m
6 = -74 + 5m

Solving
6 = -74 + 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.
6 + -5m = -74 + 5m + -5m

Combine like terms: 5m + -5m = 0
6 + -5m = -74 + 0
6 + -5m = -74

Add '-6' to each side of the equation.
6 + -6 + -5m = -74 + -6

Combine like terms: 6 + -6 = 0
0 + -5m = -74 + -6
-5m = -74 + -6

Combine like terms: -74 + -6 = -80
-5m = -80

Divide each side by '-5'.
m = 16

Simplifying
m = 16

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