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

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

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

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

Reorder the terms:
18 + 9z + -2(-4 + z) = 2(z + -1) + 4(z + -1)
18 + 9z + (-4 * -2 + z * -2) = 2(z + -1) + 4(z + -1)
18 + 9z + (8 + -2z) = 2(z + -1) + 4(z + -1)

Reorder the terms:
18 + 8 + 9z + -2z = 2(z + -1) + 4(z + -1)

Combine like terms: 18 + 8 = 26
26 + 9z + -2z = 2(z + -1) + 4(z + -1)

Combine like terms: 9z + -2z = 7z
26 + 7z = 2(z + -1) + 4(z + -1)

Reorder the terms:
26 + 7z = 2(-1 + z) + 4(z + -1)
26 + 7z = (-1 * 2 + z * 2) + 4(z + -1)
26 + 7z = (-2 + 2z) + 4(z + -1)

Reorder the terms:
26 + 7z = -2 + 2z + 4(-1 + z)
26 + 7z = -2 + 2z + (-1 * 4 + z * 4)
26 + 7z = -2 + 2z + (-4 + 4z)

Reorder the terms:
26 + 7z = -2 + -4 + 2z + 4z

Combine like terms: -2 + -4 = -6
26 + 7z = -6 + 2z + 4z

Combine like terms: 2z + 4z = 6z
26 + 7z = -6 + 6z

Solving
26 + 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.
26 + 7z + -6z = -6 + 6z + -6z

Combine like terms: 7z + -6z = 1z
26 + 1z = -6 + 6z + -6z

Combine like terms: 6z + -6z = 0
26 + 1z = -6 + 0
26 + 1z = -6

Add '-26' to each side of the equation.
26 + -26 + 1z = -6 + -26

Combine like terms: 26 + -26 = 0
0 + 1z = -6 + -26
1z = -6 + -26

Combine like terms: -6 + -26 = -32
1z = -32

Divide each side by '1'.
z = -32

Simplifying
z = -32