2(3z-9)-3(z-8)=

Solution for 2(3z-9)-3(z-8)= equation:

Simplifying
2(3z + -9) + -3(z + -8) = 0

Reorder the terms:
2(-9 + 3z) + -3(z + -8) = 0
(-9 * 2 + 3z * 2) + -3(z + -8) = 0
(-18 + 6z) + -3(z + -8) = 0

Reorder the terms:
-18 + 6z + -3(-8 + z) = 0
-18 + 6z + (-8 * -3 + z * -3) = 0
-18 + 6z + (24 + -3z) = 0

Reorder the terms:
-18 + 24 + 6z + -3z = 0

Combine like terms: -18 + 24 = 6
6 + 6z + -3z = 0

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

Solving
6 + 3z = 0

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 = 0 + -6

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

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

Divide each side by '3'.
z = -2

Simplifying
z = -2