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

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

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

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

Reorder the terms:
36 + 9z + -3(-4 + z) = 2(z + -4) + 3(z + -1)
36 + 9z + (-4 * -3 + z * -3) = 2(z + -4) + 3(z + -1)
36 + 9z + (12 + -3z) = 2(z + -4) + 3(z + -1)

Reorder the terms:
36 + 12 + 9z + -3z = 2(z + -4) + 3(z + -1)

Combine like terms: 36 + 12 = 48
48 + 9z + -3z = 2(z + -4) + 3(z + -1)

Combine like terms: 9z + -3z = 6z
48 + 6z = 2(z + -4) + 3(z + -1)

Reorder the terms:
48 + 6z = 2(-4 + z) + 3(z + -1)
48 + 6z = (-4 * 2 + z * 2) + 3(z + -1)
48 + 6z = (-8 + 2z) + 3(z + -1)

Reorder the terms:
48 + 6z = -8 + 2z + 3(-1 + z)
48 + 6z = -8 + 2z + (-1 * 3 + z * 3)
48 + 6z = -8 + 2z + (-3 + 3z)

Reorder the terms:
48 + 6z = -8 + -3 + 2z + 3z

Combine like terms: -8 + -3 = -11
48 + 6z = -11 + 2z + 3z

Combine like terms: 2z + 3z = 5z
48 + 6z = -11 + 5z

Solving
48 + 6z = -11 + 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.
48 + 6z + -5z = -11 + 5z + -5z

Combine like terms: 6z + -5z = 1z
48 + 1z = -11 + 5z + -5z

Combine like terms: 5z + -5z = 0
48 + 1z = -11 + 0
48 + 1z = -11

Add '-48' to each side of the equation.
48 + -48 + 1z = -11 + -48

Combine like terms: 48 + -48 = 0
0 + 1z = -11 + -48
1z = -11 + -48

Combine like terms: -11 + -48 = -59
1z = -59

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

Simplifying
z = -59