5z-6=-42+z

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

Simplifying
5z + -6 = -42 + z

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

Solving
-6 + 5z = -42 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-6 + 5z + -1z = -42 + z + -1z

Combine like terms: 5z + -1z = 4z
-6 + 4z = -42 + z + -1z

Combine like terms: z + -1z = 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