3(6z-1)-3(z+1)=11(z+1)

Solution for 3(6z-1)-3(z+1)=11(z+1) equation:

Simplifying
3(6z + -1) + -3(z + 1) = 11(z + 1)

Reorder the terms:
3(-1 + 6z) + -3(z + 1) = 11(z + 1)
(-1 * 3 + 6z * 3) + -3(z + 1) = 11(z + 1)
(-3 + 18z) + -3(z + 1) = 11(z + 1)

Reorder the terms:
-3 + 18z + -3(1 + z) = 11(z + 1)
-3 + 18z + (1 * -3 + z * -3) = 11(z + 1)
-3 + 18z + (-3 + -3z) = 11(z + 1)

Reorder the terms:
-3 + -3 + 18z + -3z = 11(z + 1)

Combine like terms: -3 + -3 = -6
-6 + 18z + -3z = 11(z + 1)

Combine like terms: 18z + -3z = 15z
-6 + 15z = 11(z + 1)

Reorder the terms:
-6 + 15z = 11(1 + z)
-6 + 15z = (1 * 11 + z * 11)
-6 + 15z = (11 + 11z)

Solving
-6 + 15z = 11 + 11z

Solving for variable 'z'.

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

Add '-11z' to each side of the equation.
-6 + 15z + -11z = 11 + 11z + -11z

Combine like terms: 15z + -11z = 4z
-6 + 4z = 11 + 11z + -11z

Combine like terms: 11z + -11z = 0
-6 + 4z = 11 + 0
-6 + 4z = 11

Add '6' to each side of the equation.
-6 + 6 + 4z = 11 + 6

Combine like terms: -6 + 6 = 0
0 + 4z = 11 + 6
4z = 11 + 6

Combine like terms: 11 + 6 = 17
4z = 17

Divide each side by '4'.
z = 4.25

Simplifying
z = 4.25