4z-(z-6)=32-6

Solution for 4z-(z-6)=32-6 equation:

Simplifying
4z + -1(z + -6) = 32 + -6

Reorder the terms:
4z + -1(-6 + z) = 32 + -6
4z + (-6 * -1 + z * -1) = 32 + -6
4z + (6 + -1z) = 32 + -6

Reorder the terms:
6 + 4z + -1z = 32 + -6

Combine like terms: 4z + -1z = 3z
6 + 3z = 32 + -6

Combine like terms: 32 + -6 = 26
6 + 3z = 26

Solving
6 + 3z = 26

Solving for variable 'z'.

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

Add '-6' to each side of the equation.
6 + -6 + 3z = 26 + -6

Combine like terms: 6 + -6 = 0
0 + 3z = 26 + -6
3z = 26 + -6

Combine like terms: 26 + -6 = 20
3z = 20

Divide each side by '3'.
z = 6.666666667

Simplifying
z = 6.666666667