2(3+2z)+8z=18+2z

Solution for 2(3+2z)+8z=18+2z equation:

Simplifying
2(3 + 2z) + 8z = 18 + 2z
(3 * 2 + 2z * 2) + 8z = 18 + 2z
(6 + 4z) + 8z = 18 + 2z

Combine like terms: 4z + 8z = 12z
6 + 12z = 18 + 2z

Solving
6 + 12z = 18 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
6 + 12z + -2z = 18 + 2z + -2z

Combine like terms: 12z + -2z = 10z
6 + 10z = 18 + 2z + -2z

Combine like terms: 2z + -2z = 0
6 + 10z = 18 + 0
6 + 10z = 18

Add '-6' to each side of the equation.
6 + -6 + 10z = 18 + -6

Combine like terms: 6 + -6 = 0
0 + 10z = 18 + -6
10z = 18 + -6

Combine like terms: 18 + -6 = 12
10z = 12

Divide each side by '10'.
z = 1.2

Simplifying
z = 1.2