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

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

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

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

Reorder the terms:
9 + 9z + -3(-2 + z) = 3(z + -4) + 2(z + -3)
9 + 9z + (-2 * -3 + z * -3) = 3(z + -4) + 2(z + -3)
9 + 9z + (6 + -3z) = 3(z + -4) + 2(z + -3)

Reorder the terms:
9 + 6 + 9z + -3z = 3(z + -4) + 2(z + -3)

Combine like terms: 9 + 6 = 15
15 + 9z + -3z = 3(z + -4) + 2(z + -3)

Combine like terms: 9z + -3z = 6z
15 + 6z = 3(z + -4) + 2(z + -3)

Reorder the terms:
15 + 6z = 3(-4 + z) + 2(z + -3)
15 + 6z = (-4 * 3 + z * 3) + 2(z + -3)
15 + 6z = (-12 + 3z) + 2(z + -3)

Reorder the terms:
15 + 6z = -12 + 3z + 2(-3 + z)
15 + 6z = -12 + 3z + (-3 * 2 + z * 2)
15 + 6z = -12 + 3z + (-6 + 2z)

Reorder the terms:
15 + 6z = -12 + -6 + 3z + 2z

Combine like terms: -12 + -6 = -18
15 + 6z = -18 + 3z + 2z

Combine like terms: 3z + 2z = 5z
15 + 6z = -18 + 5z

Solving
15 + 6z = -18 + 5z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-5z' to each side of the equation.
15 + 6z + -5z = -18 + 5z + -5z

Combine like terms: 6z + -5z = 1z
15 + 1z = -18 + 5z + -5z

Combine like terms: 5z + -5z = 0
15 + 1z = -18 + 0
15 + 1z = -18

Add '-15' to each side of the equation.
15 + -15 + 1z = -18 + -15

Combine like terms: 15 + -15 = 0
0 + 1z = -18 + -15
1z = -18 + -15

Combine like terms: -18 + -15 = -33
1z = -33

Divide each side by '1'.
z = -33

Simplifying
z = -33