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

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

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

Reorder the terms:
9(4 + z) + -2(z + -4) = 3(z + -4) + 3(z + -1)
(4 * 9 + z * 9) + -2(z + -4) = 3(z + -4) + 3(z + -1)
(36 + 9z) + -2(z + -4) = 3(z + -4) + 3(z + -1)

Reorder the terms:
36 + 9z + -2(-4 + z) = 3(z + -4) + 3(z + -1)
36 + 9z + (-4 * -2 + z * -2) = 3(z + -4) + 3(z + -1)
36 + 9z + (8 + -2z) = 3(z + -4) + 3(z + -1)

Reorder the terms:
36 + 8 + 9z + -2z = 3(z + -4) + 3(z + -1)

Combine like terms: 36 + 8 = 44
44 + 9z + -2z = 3(z + -4) + 3(z + -1)

Combine like terms: 9z + -2z = 7z
44 + 7z = 3(z + -4) + 3(z + -1)

Reorder the terms:
44 + 7z = 3(-4 + z) + 3(z + -1)
44 + 7z = (-4 * 3 + z * 3) + 3(z + -1)
44 + 7z = (-12 + 3z) + 3(z + -1)

Reorder the terms:
44 + 7z = -12 + 3z + 3(-1 + z)
44 + 7z = -12 + 3z + (-1 * 3 + z * 3)
44 + 7z = -12 + 3z + (-3 + 3z)

Reorder the terms:
44 + 7z = -12 + -3 + 3z + 3z

Combine like terms: -12 + -3 = -15
44 + 7z = -15 + 3z + 3z

Combine like terms: 3z + 3z = 6z
44 + 7z = -15 + 6z

Solving
44 + 7z = -15 + 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.
44 + 7z + -6z = -15 + 6z + -6z

Combine like terms: 7z + -6z = 1z
44 + 1z = -15 + 6z + -6z

Combine like terms: 6z + -6z = 0
44 + 1z = -15 + 0
44 + 1z = -15

Add '-44' to each side of the equation.
44 + -44 + 1z = -15 + -44

Combine like terms: 44 + -44 = 0
0 + 1z = -15 + -44
1z = -15 + -44

Combine like terms: -15 + -44 = -59
1z = -59

Divide each side by '1'.
z = -59

Simplifying
z = -59