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

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


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

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

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

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

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

Solving
40 = -55 + 5z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

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

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

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

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

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

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

Simplifying
z = 19

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