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

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

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

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

Reorder the terms:
9 + 9z + -2(-4 + z) = 3(z + -2) + 3(z + -4)
9 + 9z + (-4 * -2 + z * -2) = 3(z + -2) + 3(z + -4)
9 + 9z + (8 + -2z) = 3(z + -2) + 3(z + -4)

Reorder the terms:
9 + 8 + 9z + -2z = 3(z + -2) + 3(z + -4)

Combine like terms: 9 + 8 = 17
17 + 9z + -2z = 3(z + -2) + 3(z + -4)

Combine like terms: 9z + -2z = 7z
17 + 7z = 3(z + -2) + 3(z + -4)

Reorder the terms:
17 + 7z = 3(-2 + z) + 3(z + -4)
17 + 7z = (-2 * 3 + z * 3) + 3(z + -4)
17 + 7z = (-6 + 3z) + 3(z + -4)

Reorder the terms:
17 + 7z = -6 + 3z + 3(-4 + z)
17 + 7z = -6 + 3z + (-4 * 3 + z * 3)
17 + 7z = -6 + 3z + (-12 + 3z)

Reorder the terms:
17 + 7z = -6 + -12 + 3z + 3z

Combine like terms: -6 + -12 = -18
17 + 7z = -18 + 3z + 3z

Combine like terms: 3z + 3z = 6z
17 + 7z = -18 + 6z

Solving
17 + 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.
17 + 7z + -6z = -18 + 6z + -6z

Combine like terms: 7z + -6z = 1z
17 + 1z = -18 + 6z + -6z

Combine like terms: 6z + -6z = 0
17 + 1z = -18 + 0
17 + 1z = -18

Add '-17' to each side of the equation.
17 + -17 + 1z = -18 + -17

Combine like terms: 17 + -17 = 0
0 + 1z = -18 + -17
1z = -18 + -17

Combine like terms: -18 + -17 = -35
1z = -35

Divide each side by '1'.
z = -35

Simplifying
z = -35