5z-6=-42+9z

Solution for 5z-6=-42+9z equation:

Simplifying
5z + -6 = -42 + 9z

Reorder the terms:
-6 + 5z = -42 + 9z

Solving
-6 + 5z = -42 + 9z

Solving for variable 'z'.

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

Add '-9z' to each side of the equation.
-6 + 5z + -9z = -42 + 9z + -9z

Combine like terms: 5z + -9z = -4z
-6 + -4z = -42 + 9z + -9z

Combine like terms: 9z + -9z = 0
-6 + -4z = -42 + 0
-6 + -4z = -42

Add '6' to each side of the equation.
-6 + 6 + -4z = -42 + 6

Combine like terms: -6 + 6 = 0
0 + -4z = -42 + 6
-4z = -42 + 6

Combine like terms: -42 + 6 = -36
-4z = -36

Divide each side by '-4'.
z = 9

Simplifying
z = 9