3(5z-1)-3(z+6)=8(z+1)

Solution for 3(5z-1)-3(z+6)=8(z+1) equation:

Simplifying
3(5z + -1) + -3(z + 6) = 8(z + 1)

Reorder the terms:
3(-1 + 5z) + -3(z + 6) = 8(z + 1)
(-1 * 3 + 5z * 3) + -3(z + 6) = 8(z + 1)
(-3 + 15z) + -3(z + 6) = 8(z + 1)

Reorder the terms:
-3 + 15z + -3(6 + z) = 8(z + 1)
-3 + 15z + (6 * -3 + z * -3) = 8(z + 1)
-3 + 15z + (-18 + -3z) = 8(z + 1)

Reorder the terms:
-3 + -18 + 15z + -3z = 8(z + 1)

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

Combine like terms: 15z + -3z = 12z
-21 + 12z = 8(z + 1)

Reorder the terms:
-21 + 12z = 8(1 + z)
-21 + 12z = (1 * 8 + z * 8)
-21 + 12z = (8 + 8z)

Solving
-21 + 12z = 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 + 12z + -8z = 8 + 8z + -8z

Combine like terms: 12z + -8z = 4z
-21 + 4z = 8 + 8z + -8z

Combine like terms: 8z + -8z = 0
-21 + 4z = 8 + 0
-21 + 4z = 8

Add '21' to each side of the equation.
-21 + 21 + 4z = 8 + 21

Combine like terms: -21 + 21 = 0
0 + 4z = 8 + 21
4z = 8 + 21

Combine like terms: 8 + 21 = 29
4z = 29

Divide each side by '4'.
z = 7.25

Simplifying
z = 7.25