-3-3(6z-3)=3(9z-8)+4

Solution for -3-3(6z-3)=3(9z-8)+4 equation:

Simplifying
-3 + -3(6z + -3) = 3(9z + -8) + 4

Reorder the terms:
-3 + -3(-3 + 6z) = 3(9z + -8) + 4
-3 + (-3 * -3 + 6z * -3) = 3(9z + -8) + 4
-3 + (9 + -18z) = 3(9z + -8) + 4

Combine like terms: -3 + 9 = 6
6 + -18z = 3(9z + -8) + 4

Reorder the terms:
6 + -18z = 3(-8 + 9z) + 4
6 + -18z = (-8 * 3 + 9z * 3) + 4
6 + -18z = (-24 + 27z) + 4

Reorder the terms:
6 + -18z = -24 + 4 + 27z

Combine like terms: -24 + 4 = -20
6 + -18z = -20 + 27z

Solving
6 + -18z = -20 + 27z

Solving for variable 'z'.

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

Add '-27z' to each side of the equation.
6 + -18z + -27z = -20 + 27z + -27z

Combine like terms: -18z + -27z = -45z
6 + -45z = -20 + 27z + -27z

Combine like terms: 27z + -27z = 0
6 + -45z = -20 + 0
6 + -45z = -20

Add '-6' to each side of the equation.
6 + -6 + -45z = -20 + -6

Combine like terms: 6 + -6 = 0
0 + -45z = -20 + -6
-45z = -20 + -6

Combine like terms: -20 + -6 = -26
-45z = -26

Divide each side by '-45'.
z = 0.5777777778

Simplifying
z = 0.5777777778