6[4(z-5)+17]=

Solution for 6[4(z-5)+17]= equation:

Simplifying
6[4(z + -5) + 17] = 0

Reorder the terms:
6[4(-5 + z) + 17] = 0
6[(-5 * 4 + z * 4) + 17] = 0
6[(-20 + 4z) + 17] = 0

Reorder the terms:
6[-20 + 17 + 4z] = 0

Combine like terms: -20 + 17 = -3
6[-3 + 4z] = 0
[-3 * 6 + 4z * 6] = 0
[-18 + 24z] = 0

Solving
-18 + 24z = 0

Solving for variable 'z'.

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

Add '18' to each side of the equation.
-18 + 18 + 24z = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 24z = 0 + 18
24z = 0 + 18

Combine like terms: 0 + 18 = 18
24z = 18

Divide each side by '24'.
z = 0.75

Simplifying
z = 0.75