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

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

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

Reorder the terms:
3(6 + 4z) + -2(z + 6) = 0
(6 * 3 + 4z * 3) + -2(z + 6) = 0
(18 + 12z) + -2(z + 6) = 0

Reorder the terms:
18 + 12z + -2(6 + z) = 0
18 + 12z + (6 * -2 + z * -2) = 0
18 + 12z + (-12 + -2z) = 0

Reorder the terms:
18 + -12 + 12z + -2z = 0

Combine like terms: 18 + -12 = 6
6 + 12z + -2z = 0

Combine like terms: 12z + -2z = 10z
6 + 10z = 0

Solving
6 + 10z = 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 + 10z = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 10z = 0 + -6
10z = 0 + -6

Combine like terms: 0 + -6 = -6
10z = -6

Divide each side by '10'.
z = -0.6

Simplifying
z = -0.6