3(4z+2)=-2z-36

Solution for 3(4z+2)=-2z-36 equation:

Simplifying
3(4z + 2) = -2z + -36

Reorder the terms:
3(2 + 4z) = -2z + -36
(2 * 3 + 4z * 3) = -2z + -36
(6 + 12z) = -2z + -36

Reorder the terms:
6 + 12z = -36 + -2z

Solving
6 + 12z = -36 + -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 = -36 + -2z + 2z

Combine like terms: 12z + 2z = 14z
6 + 14z = -36 + -2z + 2z

Combine like terms: -2z + 2z = 0
6 + 14z = -36 + 0
6 + 14z = -36

Add '-6' to each side of the equation.
6 + -6 + 14z = -36 + -6

Combine like terms: 6 + -6 = 0
0 + 14z = -36 + -6
14z = -36 + -6

Combine like terms: -36 + -6 = -42
14z = -42

Divide each side by '14'.
z = -3

Simplifying
z = -3