3+(6z+3)=8(z+2)-6

Solution for 3+(6z+3)=8(z+2)-6 equation:

Simplifying
3 + (6z + 3) = 8(z + 2) + -6

Reorder the terms:
3 + (3 + 6z) = 8(z + 2) + -6

Remove parenthesis around (3 + 6z)
3 + 3 + 6z = 8(z + 2) + -6

Combine like terms: 3 + 3 = 6
6 + 6z = 8(z + 2) + -6

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

Reorder the terms:
6 + 6z = 16 + -6 + 8z

Combine like terms: 16 + -6 = 10
6 + 6z = 10 + 8z

Solving
6 + 6z = 10 + 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 = 10 + 8z + -8z

Combine like terms: 6z + -8z = -2z
6 + -2z = 10 + 8z + -8z

Combine like terms: 8z + -8z = 0
6 + -2z = 10 + 0
6 + -2z = 10

Add '-6' to each side of the equation.
6 + -6 + -2z = 10 + -6

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

Combine like terms: 10 + -6 = 4
-2z = 4

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

Simplifying
z = -2