6(3z-1)-3(z+7)=2(z+1)

Solution for 6(3z-1)-3(z+7)=2(z+1) equation:

Simplifying
6(3z + -1) + -3(z + 7) = 2(z + 1)

Reorder the terms:
6(-1 + 3z) + -3(z + 7) = 2(z + 1)
(-1 * 6 + 3z * 6) + -3(z + 7) = 2(z + 1)
(-6 + 18z) + -3(z + 7) = 2(z + 1)

Reorder the terms:
-6 + 18z + -3(7 + z) = 2(z + 1)
-6 + 18z + (7 * -3 + z * -3) = 2(z + 1)
-6 + 18z + (-21 + -3z) = 2(z + 1)

Reorder the terms:
-6 + -21 + 18z + -3z = 2(z + 1)

Combine like terms: -6 + -21 = -27
-27 + 18z + -3z = 2(z + 1)

Combine like terms: 18z + -3z = 15z
-27 + 15z = 2(z + 1)

Reorder the terms:
-27 + 15z = 2(1 + z)
-27 + 15z = (1 * 2 + z * 2)
-27 + 15z = (2 + 2z)

Solving
-27 + 15z = 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.
-27 + 15z + -2z = 2 + 2z + -2z

Combine like terms: 15z + -2z = 13z
-27 + 13z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
-27 + 13z = 2 + 0
-27 + 13z = 2

Add '27' to each side of the equation.
-27 + 27 + 13z = 2 + 27

Combine like terms: -27 + 27 = 0
0 + 13z = 2 + 27
13z = 2 + 27

Combine like terms: 2 + 27 = 29
13z = 29

Divide each side by '13'.
z = 2.230769231

Simplifying
z = 2.230769231