3(2z+3)-4(z-6)=

Solution for 3(2z+3)-4(z-6)= equation:

Simplifying
3(2z + 3) + -4(z + -6) = 0

Reorder the terms:
3(3 + 2z) + -4(z + -6) = 0
(3 * 3 + 2z * 3) + -4(z + -6) = 0
(9 + 6z) + -4(z + -6) = 0

Reorder the terms:
9 + 6z + -4(-6 + z) = 0
9 + 6z + (-6 * -4 + z * -4) = 0
9 + 6z + (24 + -4z) = 0

Reorder the terms:
9 + 24 + 6z + -4z = 0

Combine like terms: 9 + 24 = 33
33 + 6z + -4z = 0

Combine like terms: 6z + -4z = 2z
33 + 2z = 0

Solving
33 + 2z = 0

Solving for variable 'z'.

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

Add '-33' to each side of the equation.
33 + -33 + 2z = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 2z = 0 + -33
2z = 0 + -33

Combine like terms: 0 + -33 = -33
2z = -33

Divide each side by '2'.
z = -16.5

Simplifying
z = -16.5