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

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

Simplifying
22 = -3(23 + -1z) + 2(z + -2)
22 = (23 * -3 + -1z * -3) + 2(z + -2)
22 = (-69 + 3z) + 2(z + -2)

Reorder the terms:
22 = -69 + 3z + 2(-2 + z)
22 = -69 + 3z + (-2 * 2 + z * 2)
22 = -69 + 3z + (-4 + 2z)

Reorder the terms:
22 = -69 + -4 + 3z + 2z

Combine like terms: -69 + -4 = -73
22 = -73 + 3z + 2z

Combine like terms: 3z + 2z = 5z
22 = -73 + 5z

Solving
22 = -73 + 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 = -73 + 5z + -5z

Combine like terms: 5z + -5z = 0
22 + -5z = -73 + 0
22 + -5z = -73

Add '-22' to each side of the equation.
22 + -22 + -5z = -73 + -22

Combine like terms: 22 + -22 = 0
0 + -5z = -73 + -22
-5z = -73 + -22

Combine like terms: -73 + -22 = -95
-5z = -95

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

Simplifying
z = 19