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

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

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

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

Reorder the terms:
-4 + 24z + -4(8 + z) = 3(z + 1)
-4 + 24z + (8 * -4 + z * -4) = 3(z + 1)
-4 + 24z + (-32 + -4z) = 3(z + 1)

Reorder the terms:
-4 + -32 + 24z + -4z = 3(z + 1)

Combine like terms: -4 + -32 = -36
-36 + 24z + -4z = 3(z + 1)

Combine like terms: 24z + -4z = 20z
-36 + 20z = 3(z + 1)

Reorder the terms:
-36 + 20z = 3(1 + z)
-36 + 20z = (1 * 3 + z * 3)
-36 + 20z = (3 + 3z)

Solving
-36 + 20z = 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.
-36 + 20z + -3z = 3 + 3z + -3z

Combine like terms: 20z + -3z = 17z
-36 + 17z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-36 + 17z = 3 + 0
-36 + 17z = 3

Add '36' to each side of the equation.
-36 + 36 + 17z = 3 + 36

Combine like terms: -36 + 36 = 0
0 + 17z = 3 + 36
17z = 3 + 36

Combine like terms: 3 + 36 = 39
17z = 39

Divide each side by '17'.
z = 2.294117647

Simplifying
z = 2.294117647