19=-3(24-m)+2(m-2)

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Solution for 19=-3(24-m)+2(m-2) equation:


Simplifying
19 = -3(24 + -1m) + 2(m + -2)
19 = (24 * -3 + -1m * -3) + 2(m + -2)
19 = (-72 + 3m) + 2(m + -2)

Reorder the terms:
19 = -72 + 3m + 2(-2 + m)
19 = -72 + 3m + (-2 * 2 + m * 2)
19 = -72 + 3m + (-4 + 2m)

Reorder the terms:
19 = -72 + -4 + 3m + 2m

Combine like terms: -72 + -4 = -76
19 = -76 + 3m + 2m

Combine like terms: 3m + 2m = 5m
19 = -76 + 5m

Solving
19 = -76 + 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.
19 + -5m = -76 + 5m + -5m

Combine like terms: 5m + -5m = 0
19 + -5m = -76 + 0
19 + -5m = -76

Add '-19' to each side of the equation.
19 + -19 + -5m = -76 + -19

Combine like terms: 19 + -19 = 0
0 + -5m = -76 + -19
-5m = -76 + -19

Combine like terms: -76 + -19 = -95
-5m = -95

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

Simplifying
m = 19

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