4(6z-1)-3(z+8)=3(z+1)

Solution for 4(6z-1)-3(z+8)=3(z+1) equation:

Simplifying
4(6z + -1) + -3(z + 8) = 3(z + 1)

Reorder the terms:
4(-1 + 6z) + -3(z + 8) = 3(z + 1)
(-1 * 4 + 6z * 4) + -3(z + 8) = 3(z + 1)
(-4 + 24z) + -3(z + 8) = 3(z + 1)

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

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

Combine like terms: -4 + -24 = -28
-28 + 24z + -3z = 3(z + 1)

Combine like terms: 24z + -3z = 21z
-28 + 21z = 3(z + 1)

Reorder the terms:
-28 + 21z = 3(1 + z)
-28 + 21z = (1 * 3 + z * 3)
-28 + 21z = (3 + 3z)

Solving
-28 + 21z = 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.
-28 + 21z + -3z = 3 + 3z + -3z

Combine like terms: 21z + -3z = 18z
-28 + 18z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-28 + 18z = 3 + 0
-28 + 18z = 3

Add '28' to each side of the equation.
-28 + 28 + 18z = 3 + 28

Combine like terms: -28 + 28 = 0
0 + 18z = 3 + 28
18z = 3 + 28

Combine like terms: 3 + 28 = 31
18z = 31

Divide each side by '18'.
z = 1.722222222

Simplifying
z = 1.722222222