22=-2(23-z)+3(z-4)

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Solution for 22=-2(23-z)+3(z-4) equation: 


Simplifying
22 = -2(23 + -1z) + 3(z + -4)
22 = (23 * -2 + -1z * -2) + 3(z + -4)
22 = (-46 + 2z) + 3(z + -4)

Reorder the terms:
22 = -46 + 2z + 3(-4 + z)
22 = -46 + 2z + (-4 * 3 + z * 3)
22 = -46 + 2z + (-12 + 3z)

Reorder the terms:
22 = -46 + -12 + 2z + 3z

Combine like terms: -46 + -12 = -58
22 = -58 + 2z + 3z

Combine like terms: 2z + 3z = 5z
22 = -58 + 5z

Solving
22 = -58 + 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.
22 + -5z = -58 + 5z + -5z

Combine like terms: 5z + -5z = 0
22 + -5z = -58 + 0
22 + -5z = -58

Add '-22' to each side of the equation.
22 + -22 + -5z = -58 + -22

Combine like terms: 22 + -22 = 0
0 + -5z = -58 + -22
-5z = -58 + -22

Combine like terms: -58 + -22 = -80
-5z = -80

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

Simplifying
z = 16

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