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

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

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

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

Solving
8 + 4z = -6 + 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.
8 + 4z + -2z = -6 + 2z + -2z

Combine like terms: 4z + -2z = 2z
8 + 2z = -6 + 2z + -2z

Combine like terms: 2z + -2z = 0
8 + 2z = -6 + 0
8 + 2z = -6

Add '-8' to each side of the equation.
8 + -8 + 2z = -6 + -8

Combine like terms: 8 + -8 = 0
0 + 2z = -6 + -8
2z = -6 + -8

Combine like terms: -6 + -8 = -14
2z = -14

Divide each side by '2'.
z = -7

Simplifying
z = -7