38=-2(24-m)+3(m-3)

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Solution for 38=-2(24-m)+3(m-3) equation:


Simplifying
38 = -2(24 + -1m) + 3(m + -3)
38 = (24 * -2 + -1m * -2) + 3(m + -3)
38 = (-48 + 2m) + 3(m + -3)

Reorder the terms:
38 = -48 + 2m + 3(-3 + m)
38 = -48 + 2m + (-3 * 3 + m * 3)
38 = -48 + 2m + (-9 + 3m)

Reorder the terms:
38 = -48 + -9 + 2m + 3m

Combine like terms: -48 + -9 = -57
38 = -57 + 2m + 3m

Combine like terms: 2m + 3m = 5m
38 = -57 + 5m

Solving
38 = -57 + 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.
38 + -5m = -57 + 5m + -5m

Combine like terms: 5m + -5m = 0
38 + -5m = -57 + 0
38 + -5m = -57

Add '-38' to each side of the equation.
38 + -38 + -5m = -57 + -38

Combine like terms: 38 + -38 = 0
0 + -5m = -57 + -38
-5m = -57 + -38

Combine like terms: -57 + -38 = -95
-5m = -95

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

Simplifying
m = 19

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