9(z+1)-2(z-1)=3(z-1)+3(z-2)

Solution for 9(z+1)-2(z-1)=3(z-1)+3(z-2) equation:

Simplifying
9(z + 1) + -2(z + -1) = 3(z + -1) + 3(z + -2)

Reorder the terms:
9(1 + z) + -2(z + -1) = 3(z + -1) + 3(z + -2)
(1 * 9 + z * 9) + -2(z + -1) = 3(z + -1) + 3(z + -2)
(9 + 9z) + -2(z + -1) = 3(z + -1) + 3(z + -2)

Reorder the terms:
9 + 9z + -2(-1 + z) = 3(z + -1) + 3(z + -2)
9 + 9z + (-1 * -2 + z * -2) = 3(z + -1) + 3(z + -2)
9 + 9z + (2 + -2z) = 3(z + -1) + 3(z + -2)

Reorder the terms:
9 + 2 + 9z + -2z = 3(z + -1) + 3(z + -2)

Combine like terms: 9 + 2 = 11
11 + 9z + -2z = 3(z + -1) + 3(z + -2)

Combine like terms: 9z + -2z = 7z
11 + 7z = 3(z + -1) + 3(z + -2)

Reorder the terms:
11 + 7z = 3(-1 + z) + 3(z + -2)
11 + 7z = (-1 * 3 + z * 3) + 3(z + -2)
11 + 7z = (-3 + 3z) + 3(z + -2)

Reorder the terms:
11 + 7z = -3 + 3z + 3(-2 + z)
11 + 7z = -3 + 3z + (-2 * 3 + z * 3)
11 + 7z = -3 + 3z + (-6 + 3z)

Reorder the terms:
11 + 7z = -3 + -6 + 3z + 3z

Combine like terms: -3 + -6 = -9
11 + 7z = -9 + 3z + 3z

Combine like terms: 3z + 3z = 6z
11 + 7z = -9 + 6z

Solving
11 + 7z = -9 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
11 + 7z + -6z = -9 + 6z + -6z

Combine like terms: 7z + -6z = 1z
11 + 1z = -9 + 6z + -6z

Combine like terms: 6z + -6z = 0
11 + 1z = -9 + 0
11 + 1z = -9

Add '-11' to each side of the equation.
11 + -11 + 1z = -9 + -11

Combine like terms: 11 + -11 = 0
0 + 1z = -9 + -11
1z = -9 + -11

Combine like terms: -9 + -11 = -20
1z = -20

Divide each side by '1'.
z = -20

Simplifying
z = -20