3(4z+2)-2(z+8)=

Solution for 3(4z+2)-2(z+8)= equation:

Simplifying
3(4z + 2) + -2(z + 8) = 0

Reorder the terms:
3(2 + 4z) + -2(z + 8) = 0
(2 * 3 + 4z * 3) + -2(z + 8) = 0
(6 + 12z) + -2(z + 8) = 0

Reorder the terms:
6 + 12z + -2(8 + z) = 0
6 + 12z + (8 * -2 + z * -2) = 0
6 + 12z + (-16 + -2z) = 0

Reorder the terms:
6 + -16 + 12z + -2z = 0

Combine like terms: 6 + -16 = -10
-10 + 12z + -2z = 0

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

Solving
-10 + 10z = 0

Solving for variable 'z'.

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

Add '10' to each side of the equation.
-10 + 10 + 10z = 0 + 10

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

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

Divide each side by '10'.
z = 1

Simplifying
z = 1