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

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

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

Reorder the terms:
9(3 + z) + -4(z + -4) = 2(z + -4) + 2(z + -4)
(3 * 9 + z * 9) + -4(z + -4) = 2(z + -4) + 2(z + -4)
(27 + 9z) + -4(z + -4) = 2(z + -4) + 2(z + -4)

Reorder the terms:
27 + 9z + -4(-4 + z) = 2(z + -4) + 2(z + -4)
27 + 9z + (-4 * -4 + z * -4) = 2(z + -4) + 2(z + -4)
27 + 9z + (16 + -4z) = 2(z + -4) + 2(z + -4)

Reorder the terms:
27 + 16 + 9z + -4z = 2(z + -4) + 2(z + -4)

Combine like terms: 27 + 16 = 43
43 + 9z + -4z = 2(z + -4) + 2(z + -4)

Combine like terms: 9z + -4z = 5z
43 + 5z = 2(z + -4) + 2(z + -4)

Reorder the terms:
43 + 5z = 2(-4 + z) + 2(z + -4)
43 + 5z = (-4 * 2 + z * 2) + 2(z + -4)
43 + 5z = (-8 + 2z) + 2(z + -4)

Reorder the terms:
43 + 5z = -8 + 2z + 2(-4 + z)
43 + 5z = -8 + 2z + (-4 * 2 + z * 2)
43 + 5z = -8 + 2z + (-8 + 2z)

Reorder the terms:
43 + 5z = -8 + -8 + 2z + 2z

Combine like terms: -8 + -8 = -16
43 + 5z = -16 + 2z + 2z

Combine like terms: 2z + 2z = 4z
43 + 5z = -16 + 4z

Solving
43 + 5z = -16 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
43 + 5z + -4z = -16 + 4z + -4z

Combine like terms: 5z + -4z = 1z
43 + 1z = -16 + 4z + -4z

Combine like terms: 4z + -4z = 0
43 + 1z = -16 + 0
43 + 1z = -16

Add '-43' to each side of the equation.
43 + -43 + 1z = -16 + -43

Combine like terms: 43 + -43 = 0
0 + 1z = -16 + -43
1z = -16 + -43

Combine like terms: -16 + -43 = -59
1z = -59

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

Simplifying
z = -59