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

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

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

Reorder the terms:
2(-1 + 4z) + -3(z + 6) = 3(z + 1)
(-1 * 2 + 4z * 2) + -3(z + 6) = 3(z + 1)
(-2 + 8z) + -3(z + 6) = 3(z + 1)

Reorder the terms:
-2 + 8z + -3(6 + z) = 3(z + 1)
-2 + 8z + (6 * -3 + z * -3) = 3(z + 1)
-2 + 8z + (-18 + -3z) = 3(z + 1)

Reorder the terms:
-2 + -18 + 8z + -3z = 3(z + 1)

Combine like terms: -2 + -18 = -20
-20 + 8z + -3z = 3(z + 1)

Combine like terms: 8z + -3z = 5z
-20 + 5z = 3(z + 1)

Reorder the terms:
-20 + 5z = 3(1 + z)
-20 + 5z = (1 * 3 + z * 3)
-20 + 5z = (3 + 3z)

Solving
-20 + 5z = 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.
-20 + 5z + -3z = 3 + 3z + -3z

Combine like terms: 5z + -3z = 2z
-20 + 2z = 3 + 3z + -3z

Combine like terms: 3z + -3z = 0
-20 + 2z = 3 + 0
-20 + 2z = 3

Add '20' to each side of the equation.
-20 + 20 + 2z = 3 + 20

Combine like terms: -20 + 20 = 0
0 + 2z = 3 + 20
2z = 3 + 20

Combine like terms: 3 + 20 = 23
2z = 23

Divide each side by '2'.
z = 11.5

Simplifying
z = 11.5