3(3z-1)-3(2z)=5

Solution for 3(3z-1)-3(2z)=5 equation:

Simplifying
3(3z + -1) + -3(2z) = 5

Reorder the terms:
3(-1 + 3z) + -3(2z) = 5
(-1 * 3 + 3z * 3) + -3(2z) = 5
(-3 + 9z) + -3(2z) = 5

Remove parenthesis around (2z)
-3 + 9z + -3 * 2z = 5

Multiply -3 * 2
-3 + 9z + -6z = 5

Combine like terms: 9z + -6z = 3z
-3 + 3z = 5

Solving
-3 + 3z = 5

Solving for variable 'z'.

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

Add '3' to each side of the equation.
-3 + 3 + 3z = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 3z = 5 + 3
3z = 5 + 3

Combine like terms: 5 + 3 = 8
3z = 8

Divide each side by '3'.
z = 2.666666667

Simplifying
z = 2.666666667