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

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

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

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

Reorder the terms:
9 + 9z + -2(-3 + z) = 4(z + -2) + 2(z + -1)
9 + 9z + (-3 * -2 + z * -2) = 4(z + -2) + 2(z + -1)
9 + 9z + (6 + -2z) = 4(z + -2) + 2(z + -1)

Reorder the terms:
9 + 6 + 9z + -2z = 4(z + -2) + 2(z + -1)

Combine like terms: 9 + 6 = 15
15 + 9z + -2z = 4(z + -2) + 2(z + -1)

Combine like terms: 9z + -2z = 7z
15 + 7z = 4(z + -2) + 2(z + -1)

Reorder the terms:
15 + 7z = 4(-2 + z) + 2(z + -1)
15 + 7z = (-2 * 4 + z * 4) + 2(z + -1)
15 + 7z = (-8 + 4z) + 2(z + -1)

Reorder the terms:
15 + 7z = -8 + 4z + 2(-1 + z)
15 + 7z = -8 + 4z + (-1 * 2 + z * 2)
15 + 7z = -8 + 4z + (-2 + 2z)

Reorder the terms:
15 + 7z = -8 + -2 + 4z + 2z

Combine like terms: -8 + -2 = -10
15 + 7z = -10 + 4z + 2z

Combine like terms: 4z + 2z = 6z
15 + 7z = -10 + 6z

Solving
15 + 7z = -10 + 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.
15 + 7z + -6z = -10 + 6z + -6z

Combine like terms: 7z + -6z = 1z
15 + 1z = -10 + 6z + -6z

Combine like terms: 6z + -6z = 0
15 + 1z = -10 + 0
15 + 1z = -10

Add '-15' to each side of the equation.
15 + -15 + 1z = -10 + -15

Combine like terms: 15 + -15 = 0
0 + 1z = -10 + -15
1z = -10 + -15

Combine like terms: -10 + -15 = -25
1z = -25

Divide each side by '1'.
z = -25

Simplifying
z = -25