33z-42=3(14z-23)

Solution for 33z-42=3(14z-23) equation:

Simplifying
33z + -42 = 3(14z + -23)

Reorder the terms:
-42 + 33z = 3(14z + -23)

Reorder the terms:
-42 + 33z = 3(-23 + 14z)
-42 + 33z = (-23 * 3 + 14z * 3)
-42 + 33z = (-69 + 42z)

Solving
-42 + 33z = -69 + 42z

Solving for variable 'z'.

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

Add '-42z' to each side of the equation.
-42 + 33z + -42z = -69 + 42z + -42z

Combine like terms: 33z + -42z = -9z
-42 + -9z = -69 + 42z + -42z

Combine like terms: 42z + -42z = 0
-42 + -9z = -69 + 0
-42 + -9z = -69

Add '42' to each side of the equation.
-42 + 42 + -9z = -69 + 42

Combine like terms: -42 + 42 = 0
0 + -9z = -69 + 42
-9z = -69 + 42

Combine like terms: -69 + 42 = -27
-9z = -27

Divide each side by '-9'.
z = 3

Simplifying
z = 3