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

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

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

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

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

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

Combine like terms: 36 + 9 = 45
45 + 9z + -3z = 3(z + -4) + 2(z + -3)

Combine like terms: 9z + -3z = 6z
45 + 6z = 3(z + -4) + 2(z + -3)

Reorder the terms:
45 + 6z = 3(-4 + z) + 2(z + -3)
45 + 6z = (-4 * 3 + z * 3) + 2(z + -3)
45 + 6z = (-12 + 3z) + 2(z + -3)

Reorder the terms:
45 + 6z = -12 + 3z + 2(-3 + z)
45 + 6z = -12 + 3z + (-3 * 2 + z * 2)
45 + 6z = -12 + 3z + (-6 + 2z)

Reorder the terms:
45 + 6z = -12 + -6 + 3z + 2z

Combine like terms: -12 + -6 = -18
45 + 6z = -18 + 3z + 2z

Combine like terms: 3z + 2z = 5z
45 + 6z = -18 + 5z

Solving
45 + 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.
45 + 6z + -5z = -18 + 5z + -5z

Combine like terms: 6z + -5z = 1z
45 + 1z = -18 + 5z + -5z

Combine like terms: 5z + -5z = 0
45 + 1z = -18 + 0
45 + 1z = -18

Add '-45' to each side of the equation.
45 + -45 + 1z = -18 + -45

Combine like terms: 45 + -45 = 0
0 + 1z = -18 + -45
1z = -18 + -45

Combine like terms: -18 + -45 = -63
1z = -63

Divide each side by '1'.
z = -63

Simplifying
z = -63