33=-2(24-z)+3(z-3)

Solution for 33=-2(24-z)+3(z-3) equation:

Simplifying
33 = -2(24 + -1z) + 3(z + -3)
33 = (24 * -2 + -1z * -2) + 3(z + -3)
33 = (-48 + 2z) + 3(z + -3)

Reorder the terms:
33 = -48 + 2z + 3(-3 + z)
33 = -48 + 2z + (-3 * 3 + z * 3)
33 = -48 + 2z + (-9 + 3z)

Reorder the terms:
33 = -48 + -9 + 2z + 3z

Combine like terms: -48 + -9 = -57
33 = -57 + 2z + 3z

Combine like terms: 2z + 3z = 5z
33 = -57 + 5z

Solving
33 = -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.
33 + -5z = -57 + 5z + -5z

Combine like terms: 5z + -5z = 0
33 + -5z = -57 + 0
33 + -5z = -57

Add '-33' to each side of the equation.
33 + -33 + -5z = -57 + -33

Combine like terms: 33 + -33 = 0
0 + -5z = -57 + -33
-5z = -57 + -33

Combine like terms: -57 + -33 = -90
-5z = -90

Divide each side by '-5'.
z = 18

Simplifying
z = 18