33=-3(23-z)+3(z-2)

Solution for 33=-3(23-z)+3(z-2) equation:

Simplifying
33 = -3(23 + -1z) + 3(z + -2)
33 = (23 * -3 + -1z * -3) + 3(z + -2)
33 = (-69 + 3z) + 3(z + -2)

Reorder the terms:
33 = -69 + 3z + 3(-2 + z)
33 = -69 + 3z + (-2 * 3 + z * 3)
33 = -69 + 3z + (-6 + 3z)

Reorder the terms:
33 = -69 + -6 + 3z + 3z

Combine like terms: -69 + -6 = -75
33 = -75 + 3z + 3z

Combine like terms: 3z + 3z = 6z
33 = -75 + 6z

Solving
33 = -75 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
33 + -6z = -75 + 6z + -6z

Combine like terms: 6z + -6z = 0
33 + -6z = -75 + 0
33 + -6z = -75

Add '-33' to each side of the equation.
33 + -33 + -6z = -75 + -33

Combine like terms: 33 + -33 = 0
0 + -6z = -75 + -33
-6z = -75 + -33

Combine like terms: -75 + -33 = -108
-6z = -108

Divide each side by '-6'.
z = 18

Simplifying
z = 18