3(4z-1)-3(z+6)=2(z+1)

Solution for 3(4z-1)-3(z+6)=2(z+1) equation:

Simplifying
3(4z + -1) + -3(z + 6) = 2(z + 1)

Reorder the terms:
3(-1 + 4z) + -3(z + 6) = 2(z + 1)
(-1 * 3 + 4z * 3) + -3(z + 6) = 2(z + 1)
(-3 + 12z) + -3(z + 6) = 2(z + 1)

Reorder the terms:
-3 + 12z + -3(6 + z) = 2(z + 1)
-3 + 12z + (6 * -3 + z * -3) = 2(z + 1)
-3 + 12z + (-18 + -3z) = 2(z + 1)

Reorder the terms:
-3 + -18 + 12z + -3z = 2(z + 1)

Combine like terms: -3 + -18 = -21
-21 + 12z + -3z = 2(z + 1)

Combine like terms: 12z + -3z = 9z
-21 + 9z = 2(z + 1)

Reorder the terms:
-21 + 9z = 2(1 + z)
-21 + 9z = (1 * 2 + z * 2)
-21 + 9z = (2 + 2z)

Solving
-21 + 9z = 2 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-21 + 9z + -2z = 2 + 2z + -2z

Combine like terms: 9z + -2z = 7z
-21 + 7z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-21 + 7z = 2 + 0
-21 + 7z = 2

Add '21' to each side of the equation.
-21 + 21 + 7z = 2 + 21

Combine like terms: -21 + 21 = 0
0 + 7z = 2 + 21
7z = 2 + 21

Combine like terms: 2 + 21 = 23
7z = 23

Divide each side by '7'.
z = 3.285714286

Simplifying
z = 3.285714286