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

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

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

Reorder the terms:
9(4 + z) + -2(z + -2) = 3(z + -4) + 3(z + -2)
(4 * 9 + z * 9) + -2(z + -2) = 3(z + -4) + 3(z + -2)
(36 + 9z) + -2(z + -2) = 3(z + -4) + 3(z + -2)

Reorder the terms:
36 + 9z + -2(-2 + z) = 3(z + -4) + 3(z + -2)
36 + 9z + (-2 * -2 + z * -2) = 3(z + -4) + 3(z + -2)
36 + 9z + (4 + -2z) = 3(z + -4) + 3(z + -2)

Reorder the terms:
36 + 4 + 9z + -2z = 3(z + -4) + 3(z + -2)

Combine like terms: 36 + 4 = 40
40 + 9z + -2z = 3(z + -4) + 3(z + -2)

Combine like terms: 9z + -2z = 7z
40 + 7z = 3(z + -4) + 3(z + -2)

Reorder the terms:
40 + 7z = 3(-4 + z) + 3(z + -2)
40 + 7z = (-4 * 3 + z * 3) + 3(z + -2)
40 + 7z = (-12 + 3z) + 3(z + -2)

Reorder the terms:
40 + 7z = -12 + 3z + 3(-2 + z)
40 + 7z = -12 + 3z + (-2 * 3 + z * 3)
40 + 7z = -12 + 3z + (-6 + 3z)

Reorder the terms:
40 + 7z = -12 + -6 + 3z + 3z

Combine like terms: -12 + -6 = -18
40 + 7z = -18 + 3z + 3z

Combine like terms: 3z + 3z = 6z
40 + 7z = -18 + 6z

Solving
40 + 7z = -18 + 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 = -18 + 6z + -6z

Combine like terms: 7z + -6z = 1z
40 + 1z = -18 + 6z + -6z

Combine like terms: 6z + -6z = 0
40 + 1z = -18 + 0
40 + 1z = -18

Add '-40' to each side of the equation.
40 + -40 + 1z = -18 + -40

Combine like terms: 40 + -40 = 0
0 + 1z = -18 + -40
1z = -18 + -40

Combine like terms: -18 + -40 = -58
1z = -58

Divide each side by '1'.
z = -58

Simplifying
z = -58