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

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

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

Reorder the terms:
6(-1 + 2z) + -3(z + -7) = 2(z + 1)
(-1 * 6 + 2z * 6) + -3(z + -7) = 2(z + 1)
(-6 + 12z) + -3(z + -7) = 2(z + 1)

Reorder the terms:
-6 + 12z + -3(-7 + z) = 2(z + 1)
-6 + 12z + (-7 * -3 + z * -3) = 2(z + 1)
-6 + 12z + (21 + -3z) = 2(z + 1)

Reorder the terms:
-6 + 21 + 12z + -3z = 2(z + 1)

Combine like terms: -6 + 21 = 15
15 + 12z + -3z = 2(z + 1)

Combine like terms: 12z + -3z = 9z
15 + 9z = 2(z + 1)

Reorder the terms:
15 + 9z = 2(1 + z)
15 + 9z = (1 * 2 + z * 2)
15 + 9z = (2 + 2z)

Solving
15 + 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.
15 + 9z + -2z = 2 + 2z + -2z

Combine like terms: 9z + -2z = 7z
15 + 7z = 2 + 2z + -2z

Combine like terms: 2z + -2z = 0
15 + 7z = 2 + 0
15 + 7z = 2

Add '-15' to each side of the equation.
15 + -15 + 7z = 2 + -15

Combine like terms: 15 + -15 = 0
0 + 7z = 2 + -15
7z = 2 + -15

Combine like terms: 2 + -15 = -13
7z = -13

Divide each side by '7'.
z = -1.857142857

Simplifying
z = -1.857142857