4z-6=6(z+8)

Solution for 4z-6=6(z+8) equation:

Simplifying
4z + -6 = 6(z + 8)

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

Reorder the terms:
-6 + 4z = 6(8 + z)
-6 + 4z = (8 * 6 + z * 6)
-6 + 4z = (48 + 6z)

Solving
-6 + 4z = 48 + 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 = 48 + 6z + -6z

Combine like terms: 4z + -6z = -2z
-6 + -2z = 48 + 6z + -6z

Combine like terms: 6z + -6z = 0
-6 + -2z = 48 + 0
-6 + -2z = 48

Add '6' to each side of the equation.
-6 + 6 + -2z = 48 + 6

Combine like terms: -6 + 6 = 0
0 + -2z = 48 + 6
-2z = 48 + 6

Combine like terms: 48 + 6 = 54
-2z = 54

Divide each side by '-2'.
z = -27

Simplifying
z = -27