4(3z-1)-3(z-8)=3(z-1)

Solution for 4(3z-1)-3(z-8)=3(z-1) equation:

Simplifying
4(3z + -1) + -3(z + -8) = 3(z + -1)

Reorder the terms:
4(-1 + 3z) + -3(z + -8) = 3(z + -1)
(-1 * 4 + 3z * 4) + -3(z + -8) = 3(z + -1)
(-4 + 12z) + -3(z + -8) = 3(z + -1)

Reorder the terms:
-4 + 12z + -3(-8 + z) = 3(z + -1)
-4 + 12z + (-8 * -3 + z * -3) = 3(z + -1)
-4 + 12z + (24 + -3z) = 3(z + -1)

Reorder the terms:
-4 + 24 + 12z + -3z = 3(z + -1)

Combine like terms: -4 + 24 = 20
20 + 12z + -3z = 3(z + -1)

Combine like terms: 12z + -3z = 9z
20 + 9z = 3(z + -1)

Reorder the terms:
20 + 9z = 3(-1 + z)
20 + 9z = (-1 * 3 + z * 3)
20 + 9z = (-3 + 3z)

Solving
20 + 9z = -3 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
20 + 9z + -3z = -3 + 3z + -3z

Combine like terms: 9z + -3z = 6z
20 + 6z = -3 + 3z + -3z

Combine like terms: 3z + -3z = 0
20 + 6z = -3 + 0
20 + 6z = -3

Add '-20' to each side of the equation.
20 + -20 + 6z = -3 + -20

Combine like terms: 20 + -20 = 0
0 + 6z = -3 + -20
6z = -3 + -20

Combine like terms: -3 + -20 = -23
6z = -23

Divide each side by '6'.
z = -3.833333333

Simplifying
z = -3.833333333