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

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

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

Reorder the terms:
9(4 + z) + -2(z + -2) = 4(z + -1) + 2(z + -2)
(4 * 9 + z * 9) + -2(z + -2) = 4(z + -1) + 2(z + -2)
(36 + 9z) + -2(z + -2) = 4(z + -1) + 2(z + -2)

Reorder the terms:
36 + 9z + -2(-2 + z) = 4(z + -1) + 2(z + -2)
36 + 9z + (-2 * -2 + z * -2) = 4(z + -1) + 2(z + -2)
36 + 9z + (4 + -2z) = 4(z + -1) + 2(z + -2)

Reorder the terms:
36 + 4 + 9z + -2z = 4(z + -1) + 2(z + -2)

Combine like terms: 36 + 4 = 40
40 + 9z + -2z = 4(z + -1) + 2(z + -2)

Combine like terms: 9z + -2z = 7z
40 + 7z = 4(z + -1) + 2(z + -2)

Reorder the terms:
40 + 7z = 4(-1 + z) + 2(z + -2)
40 + 7z = (-1 * 4 + z * 4) + 2(z + -2)
40 + 7z = (-4 + 4z) + 2(z + -2)

Reorder the terms:
40 + 7z = -4 + 4z + 2(-2 + z)
40 + 7z = -4 + 4z + (-2 * 2 + z * 2)
40 + 7z = -4 + 4z + (-4 + 2z)

Reorder the terms:
40 + 7z = -4 + -4 + 4z + 2z

Combine like terms: -4 + -4 = -8
40 + 7z = -8 + 4z + 2z

Combine like terms: 4z + 2z = 6z
40 + 7z = -8 + 6z

Solving
40 + 7z = -8 + 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.
40 + 7z + -6z = -8 + 6z + -6z

Combine like terms: 7z + -6z = 1z
40 + 1z = -8 + 6z + -6z

Combine like terms: 6z + -6z = 0
40 + 1z = -8 + 0
40 + 1z = -8

Add '-40' to each side of the equation.
40 + -40 + 1z = -8 + -40

Combine like terms: 40 + -40 = 0
0 + 1z = -8 + -40
1z = -8 + -40

Combine like terms: -8 + -40 = -48
1z = -48

Divide each side by '1'.
z = -48

Simplifying
z = -48