40=-2(23-m)+3(m-3)

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Solution for 40=-2(23-m)+3(m-3) equation: 


Simplifying
40 = -2(23 + -1m) + 3(m + -3)
40 = (23 * -2 + -1m * -2) + 3(m + -3)
40 = (-46 + 2m) + 3(m + -3)

Reorder the terms:
40 = -46 + 2m + 3(-3 + m)
40 = -46 + 2m + (-3 * 3 + m * 3)
40 = -46 + 2m + (-9 + 3m)

Reorder the terms:
40 = -46 + -9 + 2m + 3m

Combine like terms: -46 + -9 = -55
40 = -55 + 2m + 3m

Combine like terms: 2m + 3m = 5m
40 = -55 + 5m

Solving
40 = -55 + 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.
40 + -5m = -55 + 5m + -5m

Combine like terms: 5m + -5m = 0
40 + -5m = -55 + 0
40 + -5m = -55

Add '-40' to each side of the equation.
40 + -40 + -5m = -55 + -40

Combine like terms: 40 + -40 = 0
0 + -5m = -55 + -40
-5m = -55 + -40

Combine like terms: -55 + -40 = -95
-5m = -95

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

Simplifying
m = 19

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