9(z+2)-2(z-2)=2(z-1)+4(z-1)

Solution for 9(z+2)-2(z-2)=2(z-1)+4(z-1) equation:

Simplifying
9(z + 2) + -2(z + -2) = 2(z + -1) + 4(z + -1)

Reorder the terms:
9(2 + z) + -2(z + -2) = 2(z + -1) + 4(z + -1)
(2 * 9 + z * 9) + -2(z + -2) = 2(z + -1) + 4(z + -1)
(18 + 9z) + -2(z + -2) = 2(z + -1) + 4(z + -1)

Reorder the terms:
18 + 9z + -2(-2 + z) = 2(z + -1) + 4(z + -1)
18 + 9z + (-2 * -2 + z * -2) = 2(z + -1) + 4(z + -1)
18 + 9z + (4 + -2z) = 2(z + -1) + 4(z + -1)

Reorder the terms:
18 + 4 + 9z + -2z = 2(z + -1) + 4(z + -1)

Combine like terms: 18 + 4 = 22
22 + 9z + -2z = 2(z + -1) + 4(z + -1)

Combine like terms: 9z + -2z = 7z
22 + 7z = 2(z + -1) + 4(z + -1)

Reorder the terms:
22 + 7z = 2(-1 + z) + 4(z + -1)
22 + 7z = (-1 * 2 + z * 2) + 4(z + -1)
22 + 7z = (-2 + 2z) + 4(z + -1)

Reorder the terms:
22 + 7z = -2 + 2z + 4(-1 + z)
22 + 7z = -2 + 2z + (-1 * 4 + z * 4)
22 + 7z = -2 + 2z + (-4 + 4z)

Reorder the terms:
22 + 7z = -2 + -4 + 2z + 4z

Combine like terms: -2 + -4 = -6
22 + 7z = -6 + 2z + 4z

Combine like terms: 2z + 4z = 6z
22 + 7z = -6 + 6z

Solving
22 + 7z = -6 + 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.
22 + 7z + -6z = -6 + 6z + -6z

Combine like terms: 7z + -6z = 1z
22 + 1z = -6 + 6z + -6z

Combine like terms: 6z + -6z = 0
22 + 1z = -6 + 0
22 + 1z = -6

Add '-22' to each side of the equation.
22 + -22 + 1z = -6 + -22

Combine like terms: 22 + -22 = 0
0 + 1z = -6 + -22
1z = -6 + -22

Combine like terms: -6 + -22 = -28
1z = -28

Divide each side by '1'.
z = -28

Simplifying
z = -28