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

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

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

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

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

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

Combine like terms: 36 + 2 = 38
38 + 9z + -2z = 4(z + -2) + 2(z + -2)

Combine like terms: 9z + -2z = 7z
38 + 7z = 4(z + -2) + 2(z + -2)

Reorder the terms:
38 + 7z = 4(-2 + z) + 2(z + -2)
38 + 7z = (-2 * 4 + z * 4) + 2(z + -2)
38 + 7z = (-8 + 4z) + 2(z + -2)

Reorder the terms:
38 + 7z = -8 + 4z + 2(-2 + z)
38 + 7z = -8 + 4z + (-2 * 2 + z * 2)
38 + 7z = -8 + 4z + (-4 + 2z)

Reorder the terms:
38 + 7z = -8 + -4 + 4z + 2z

Combine like terms: -8 + -4 = -12
38 + 7z = -12 + 4z + 2z

Combine like terms: 4z + 2z = 6z
38 + 7z = -12 + 6z

Solving
38 + 7z = -12 + 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.
38 + 7z + -6z = -12 + 6z + -6z

Combine like terms: 7z + -6z = 1z
38 + 1z = -12 + 6z + -6z

Combine like terms: 6z + -6z = 0
38 + 1z = -12 + 0
38 + 1z = -12

Add '-38' to each side of the equation.
38 + -38 + 1z = -12 + -38

Combine like terms: 38 + -38 = 0
0 + 1z = -12 + -38
1z = -12 + -38

Combine like terms: -12 + -38 = -50
1z = -50

Divide each side by '1'.
z = -50

Simplifying
z = -50