-6+4(z+3)=6(z-3)

Solution for -6+4(z+3)=6(z-3) equation:

Simplifying
-6 + 4(z + 3) = 6(z + -3)

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

Combine like terms: -6 + 12 = 6
6 + 4z = 6(z + -3)

Reorder the terms:
6 + 4z = 6(-3 + z)
6 + 4z = (-3 * 6 + z * 6)
6 + 4z = (-18 + 6z)

Solving
6 + 4z = -18 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
6 + 4z + -6z = -18 + 6z + -6z

Combine like terms: 4z + -6z = -2z
6 + -2z = -18 + 6z + -6z

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

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

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

Combine like terms: -18 + -6 = -24
-2z = -24

Divide each side by '-2'.
z = 12

Simplifying
z = 12