-4z+6=z-24

Solution for -4z+6=z-24 equation:

Simplifying
-4z + 6 = z + -24

Reorder the terms:
6 + -4z = z + -24

Reorder the terms:
6 + -4z = -24 + z

Solving
6 + -4z = -24 + 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 + -4z + -1z = -24 + z + -1z

Combine like terms: -4z + -1z = -5z
6 + -5z = -24 + z + -1z

Combine like terms: z + -1z = 0
6 + -5z = -24 + 0
6 + -5z = -24

Add '-6' to each side of the equation.
6 + -6 + -5z = -24 + -6

Combine like terms: 6 + -6 = 0
0 + -5z = -24 + -6
-5z = -24 + -6

Combine like terms: -24 + -6 = -30
-5z = -30

Divide each side by '-5'.
z = 6

Simplifying
z = 6