23=-2(24-z)+3(z-3)

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Solution for 23=-2(24-z)+3(z-3) equation: 


Simplifying
23 = -2(24 + -1z) + 3(z + -3)
23 = (24 * -2 + -1z * -2) + 3(z + -3)
23 = (-48 + 2z) + 3(z + -3)

Reorder the terms:
23 = -48 + 2z + 3(-3 + z)
23 = -48 + 2z + (-3 * 3 + z * 3)
23 = -48 + 2z + (-9 + 3z)

Reorder the terms:
23 = -48 + -9 + 2z + 3z

Combine like terms: -48 + -9 = -57
23 = -57 + 2z + 3z

Combine like terms: 2z + 3z = 5z
23 = -57 + 5z

Solving
23 = -57 + 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.
23 + -5z = -57 + 5z + -5z

Combine like terms: 5z + -5z = 0
23 + -5z = -57 + 0
23 + -5z = -57

Add '-23' to each side of the equation.
23 + -23 + -5z = -57 + -23

Combine like terms: 23 + -23 = 0
0 + -5z = -57 + -23
-5z = -57 + -23

Combine like terms: -57 + -23 = -80
-5z = -80

Divide each side by '-5'.
z = 16

Simplifying
z = 16

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