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

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

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

Reorder the terms:
9(3 + z) + -2(z + -4) = 4(z + -1) + 2(z + -4)
(3 * 9 + z * 9) + -2(z + -4) = 4(z + -1) + 2(z + -4)
(27 + 9z) + -2(z + -4) = 4(z + -1) + 2(z + -4)

Reorder the terms:
27 + 9z + -2(-4 + z) = 4(z + -1) + 2(z + -4)
27 + 9z + (-4 * -2 + z * -2) = 4(z + -1) + 2(z + -4)
27 + 9z + (8 + -2z) = 4(z + -1) + 2(z + -4)

Reorder the terms:
27 + 8 + 9z + -2z = 4(z + -1) + 2(z + -4)

Combine like terms: 27 + 8 = 35
35 + 9z + -2z = 4(z + -1) + 2(z + -4)

Combine like terms: 9z + -2z = 7z
35 + 7z = 4(z + -1) + 2(z + -4)

Reorder the terms:
35 + 7z = 4(-1 + z) + 2(z + -4)
35 + 7z = (-1 * 4 + z * 4) + 2(z + -4)
35 + 7z = (-4 + 4z) + 2(z + -4)

Reorder the terms:
35 + 7z = -4 + 4z + 2(-4 + z)
35 + 7z = -4 + 4z + (-4 * 2 + z * 2)
35 + 7z = -4 + 4z + (-8 + 2z)

Reorder the terms:
35 + 7z = -4 + -8 + 4z + 2z

Combine like terms: -4 + -8 = -12
35 + 7z = -12 + 4z + 2z

Combine like terms: 4z + 2z = 6z
35 + 7z = -12 + 6z

Solving
35 + 7z = -12 + 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.
35 + 7z + -6z = -12 + 6z + -6z

Combine like terms: 7z + -6z = 1z
35 + 1z = -12 + 6z + -6z

Combine like terms: 6z + -6z = 0
35 + 1z = -12 + 0
35 + 1z = -12

Add '-35' to each side of the equation.
35 + -35 + 1z = -12 + -35

Combine like terms: 35 + -35 = 0
0 + 1z = -12 + -35
1z = -12 + -35

Combine like terms: -12 + -35 = -47
1z = -47

Divide each side by '1'.
z = -47

Simplifying
z = -47