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

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


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

Reorder the terms:
8(3 + z) + -3(z + -1) = 2(z + -2) + 2(z + -2)
(3 * 8 + z * 8) + -3(z + -1) = 2(z + -2) + 2(z + -2)
(24 + 8z) + -3(z + -1) = 2(z + -2) + 2(z + -2)

Reorder the terms:
24 + 8z + -3(-1 + z) = 2(z + -2) + 2(z + -2)
24 + 8z + (-1 * -3 + z * -3) = 2(z + -2) + 2(z + -2)
24 + 8z + (3 + -3z) = 2(z + -2) + 2(z + -2)

Reorder the terms:
24 + 3 + 8z + -3z = 2(z + -2) + 2(z + -2)

Combine like terms: 24 + 3 = 27
27 + 8z + -3z = 2(z + -2) + 2(z + -2)

Combine like terms: 8z + -3z = 5z
27 + 5z = 2(z + -2) + 2(z + -2)

Reorder the terms:
27 + 5z = 2(-2 + z) + 2(z + -2)
27 + 5z = (-2 * 2 + z * 2) + 2(z + -2)
27 + 5z = (-4 + 2z) + 2(z + -2)

Reorder the terms:
27 + 5z = -4 + 2z + 2(-2 + z)
27 + 5z = -4 + 2z + (-2 * 2 + z * 2)
27 + 5z = -4 + 2z + (-4 + 2z)

Reorder the terms:
27 + 5z = -4 + -4 + 2z + 2z

Combine like terms: -4 + -4 = -8
27 + 5z = -8 + 2z + 2z

Combine like terms: 2z + 2z = 4z
27 + 5z = -8 + 4z

Solving
27 + 5z = -8 + 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.
27 + 5z + -4z = -8 + 4z + -4z

Combine like terms: 5z + -4z = 1z
27 + 1z = -8 + 4z + -4z

Combine like terms: 4z + -4z = 0
27 + 1z = -8 + 0
27 + 1z = -8

Add '-27' to each side of the equation.
27 + -27 + 1z = -8 + -27

Combine like terms: 27 + -27 = 0
0 + 1z = -8 + -27
1z = -8 + -27

Combine like terms: -8 + -27 = -35
1z = -35

Divide each side by '1'.
z = -35

Simplifying
z = -35

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