6z+6=2(4z-16)

Solution for 6z+6=2(4z-16) equation:

Simplifying
6z + 6 = 2(4z + -16)

Reorder the terms:
6 + 6z = 2(4z + -16)

Reorder the terms:
6 + 6z = 2(-16 + 4z)
6 + 6z = (-16 * 2 + 4z * 2)
6 + 6z = (-32 + 8z)

Solving
6 + 6z = -32 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
6 + 6z + -8z = -32 + 8z + -8z

Combine like terms: 6z + -8z = -2z
6 + -2z = -32 + 8z + -8z

Combine like terms: 8z + -8z = 0
6 + -2z = -32 + 0
6 + -2z = -32

Add '-6' to each side of the equation.
6 + -6 + -2z = -32 + -6

Combine like terms: 6 + -6 = 0
0 + -2z = -32 + -6
-2z = -32 + -6

Combine like terms: -32 + -6 = -38
-2z = -38

Divide each side by '-2'.
z = 19

Simplifying
z = 19