9(z+2)-4(z-1)=2(z-1)+2(z-3)

Solution for 9(z+2)-4(z-1)=2(z-1)+2(z-3) equation:

Simplifying
9(z + 2) + -4(z + -1) = 2(z + -1) + 2(z + -3)

Reorder the terms:
9(2 + z) + -4(z + -1) = 2(z + -1) + 2(z + -3)
(2 * 9 + z * 9) + -4(z + -1) = 2(z + -1) + 2(z + -3)
(18 + 9z) + -4(z + -1) = 2(z + -1) + 2(z + -3)

Reorder the terms:
18 + 9z + -4(-1 + z) = 2(z + -1) + 2(z + -3)
18 + 9z + (-1 * -4 + z * -4) = 2(z + -1) + 2(z + -3)
18 + 9z + (4 + -4z) = 2(z + -1) + 2(z + -3)

Reorder the terms:
18 + 4 + 9z + -4z = 2(z + -1) + 2(z + -3)

Combine like terms: 18 + 4 = 22
22 + 9z + -4z = 2(z + -1) + 2(z + -3)

Combine like terms: 9z + -4z = 5z
22 + 5z = 2(z + -1) + 2(z + -3)

Reorder the terms:
22 + 5z = 2(-1 + z) + 2(z + -3)
22 + 5z = (-1 * 2 + z * 2) + 2(z + -3)
22 + 5z = (-2 + 2z) + 2(z + -3)

Reorder the terms:
22 + 5z = -2 + 2z + 2(-3 + z)
22 + 5z = -2 + 2z + (-3 * 2 + z * 2)
22 + 5z = -2 + 2z + (-6 + 2z)

Reorder the terms:
22 + 5z = -2 + -6 + 2z + 2z

Combine like terms: -2 + -6 = -8
22 + 5z = -8 + 2z + 2z

Combine like terms: 2z + 2z = 4z
22 + 5z = -8 + 4z

Solving
22 + 5z = -8 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
22 + 5z + -4z = -8 + 4z + -4z

Combine like terms: 5z + -4z = 1z
22 + 1z = -8 + 4z + -4z

Combine like terms: 4z + -4z = 0
22 + 1z = -8 + 0
22 + 1z = -8

Add '-22' to each side of the equation.
22 + -22 + 1z = -8 + -22

Combine like terms: 22 + -22 = 0
0 + 1z = -8 + -22
1z = -8 + -22

Combine like terms: -8 + -22 = -30
1z = -30

Divide each side by '1'.
z = -30

Simplifying
z = -30