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

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

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

Reorder the terms:
3(-1 + 6z) + -3(z + 6) = 8(z + 1)
(-1 * 3 + 6z * 3) + -3(z + 6) = 8(z + 1)
(-3 + 18z) + -3(z + 6) = 8(z + 1)

Reorder the terms:
-3 + 18z + -3(6 + z) = 8(z + 1)
-3 + 18z + (6 * -3 + z * -3) = 8(z + 1)
-3 + 18z + (-18 + -3z) = 8(z + 1)

Reorder the terms:
-3 + -18 + 18z + -3z = 8(z + 1)

Combine like terms: -3 + -18 = -21
-21 + 18z + -3z = 8(z + 1)

Combine like terms: 18z + -3z = 15z
-21 + 15z = 8(z + 1)

Reorder the terms:
-21 + 15z = 8(1 + z)
-21 + 15z = (1 * 8 + z * 8)
-21 + 15z = (8 + 8z)

Solving
-21 + 15z = 8 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
-21 + 15z + -8z = 8 + 8z + -8z

Combine like terms: 15z + -8z = 7z
-21 + 7z = 8 + 8z + -8z

Combine like terms: 8z + -8z = 0
-21 + 7z = 8 + 0
-21 + 7z = 8

Add '21' to each side of the equation.
-21 + 21 + 7z = 8 + 21

Combine like terms: -21 + 21 = 0
0 + 7z = 8 + 21
7z = 8 + 21

Combine like terms: 8 + 21 = 29
7z = 29

Divide each side by '7'.
z = 4.142857143

Simplifying
z = 4.142857143