42=-2(22-m)+3(m-3)

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Solution for 42=-2(22-m)+3(m-3) equation:


Simplifying
42 = -2(22 + -1m) + 3(m + -3)
42 = (22 * -2 + -1m * -2) + 3(m + -3)
42 = (-44 + 2m) + 3(m + -3)

Reorder the terms:
42 = -44 + 2m + 3(-3 + m)
42 = -44 + 2m + (-3 * 3 + m * 3)
42 = -44 + 2m + (-9 + 3m)

Reorder the terms:
42 = -44 + -9 + 2m + 3m

Combine like terms: -44 + -9 = -53
42 = -53 + 2m + 3m

Combine like terms: 2m + 3m = 5m
42 = -53 + 5m

Solving
42 = -53 + 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.
42 + -5m = -53 + 5m + -5m

Combine like terms: 5m + -5m = 0
42 + -5m = -53 + 0
42 + -5m = -53

Add '-42' to each side of the equation.
42 + -42 + -5m = -53 + -42

Combine like terms: 42 + -42 = 0
0 + -5m = -53 + -42
-5m = -53 + -42

Combine like terms: -53 + -42 = -95
-5m = -95

Divide each side by '-5'.
m = 19

Simplifying
m = 19

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