4(2z-1)-2(z+8)=3(z+1)

Solution for 4(2z-1)-2(z+8)=3(z+1) equation:

Simplifying
4(2z + -1) + -2(z + 8) = 3(z + 1)

Reorder the terms:
4(-1 + 2z) + -2(z + 8) = 3(z + 1)
(-1 * 4 + 2z * 4) + -2(z + 8) = 3(z + 1)
(-4 + 8z) + -2(z + 8) = 3(z + 1)

Reorder the terms:
-4 + 8z + -2(8 + z) = 3(z + 1)
-4 + 8z + (8 * -2 + z * -2) = 3(z + 1)
-4 + 8z + (-16 + -2z) = 3(z + 1)

Reorder the terms:
-4 + -16 + 8z + -2z = 3(z + 1)

Combine like terms: -4 + -16 = -20
-20 + 8z + -2z = 3(z + 1)

Combine like terms: 8z + -2z = 6z
-20 + 6z = 3(z + 1)

Reorder the terms:
-20 + 6z = 3(1 + z)
-20 + 6z = (1 * 3 + z * 3)
-20 + 6z = (3 + 3z)

Solving
-20 + 6z = 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 + 6z + -3z = 3 + 3z + -3z

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

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

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

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

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

Divide each side by '3'.
z = 7.666666667

Simplifying
z = 7.666666667