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

Solution for 8(z+4)-2(z-1)=2(z-3)+3(z-1) equation:

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

Reorder the terms:
8(4 + z) + -2(z + -1) = 2(z + -3) + 3(z + -1)
(4 * 8 + z * 8) + -2(z + -1) = 2(z + -3) + 3(z + -1)
(32 + 8z) + -2(z + -1) = 2(z + -3) + 3(z + -1)

Reorder the terms:
32 + 8z + -2(-1 + z) = 2(z + -3) + 3(z + -1)
32 + 8z + (-1 * -2 + z * -2) = 2(z + -3) + 3(z + -1)
32 + 8z + (2 + -2z) = 2(z + -3) + 3(z + -1)

Reorder the terms:
32 + 2 + 8z + -2z = 2(z + -3) + 3(z + -1)

Combine like terms: 32 + 2 = 34
34 + 8z + -2z = 2(z + -3) + 3(z + -1)

Combine like terms: 8z + -2z = 6z
34 + 6z = 2(z + -3) + 3(z + -1)

Reorder the terms:
34 + 6z = 2(-3 + z) + 3(z + -1)
34 + 6z = (-3 * 2 + z * 2) + 3(z + -1)
34 + 6z = (-6 + 2z) + 3(z + -1)

Reorder the terms:
34 + 6z = -6 + 2z + 3(-1 + z)
34 + 6z = -6 + 2z + (-1 * 3 + z * 3)
34 + 6z = -6 + 2z + (-3 + 3z)

Reorder the terms:
34 + 6z = -6 + -3 + 2z + 3z

Combine like terms: -6 + -3 = -9
34 + 6z = -9 + 2z + 3z

Combine like terms: 2z + 3z = 5z
34 + 6z = -9 + 5z

Solving
34 + 6z = -9 + 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.
34 + 6z + -5z = -9 + 5z + -5z

Combine like terms: 6z + -5z = 1z
34 + 1z = -9 + 5z + -5z

Combine like terms: 5z + -5z = 0
34 + 1z = -9 + 0
34 + 1z = -9

Add '-34' to each side of the equation.
34 + -34 + 1z = -9 + -34

Combine like terms: 34 + -34 = 0
0 + 1z = -9 + -34
1z = -9 + -34

Combine like terms: -9 + -34 = -43
1z = -43

Divide each side by '1'.
z = -43

Simplifying
z = -43