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

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


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

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

Remove parenthesis around (8 + 8z)
8 + 8z + -2(z + -1) = 2(z + -2) + 3(z + -4)

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

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

Combine like terms: 8 + 2 = 10
10 + 8z + -2z = 2(z + -2) + 3(z + -4)

Combine like terms: 8z + -2z = 6z
10 + 6z = 2(z + -2) + 3(z + -4)

Reorder the terms:
10 + 6z = 2(-2 + z) + 3(z + -4)
10 + 6z = (-2 * 2 + z * 2) + 3(z + -4)
10 + 6z = (-4 + 2z) + 3(z + -4)

Reorder the terms:
10 + 6z = -4 + 2z + 3(-4 + z)
10 + 6z = -4 + 2z + (-4 * 3 + z * 3)
10 + 6z = -4 + 2z + (-12 + 3z)

Reorder the terms:
10 + 6z = -4 + -12 + 2z + 3z

Combine like terms: -4 + -12 = -16
10 + 6z = -16 + 2z + 3z

Combine like terms: 2z + 3z = 5z
10 + 6z = -16 + 5z

Solving
10 + 6z = -16 + 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.
10 + 6z + -5z = -16 + 5z + -5z

Combine like terms: 6z + -5z = 1z
10 + 1z = -16 + 5z + -5z

Combine like terms: 5z + -5z = 0
10 + 1z = -16 + 0
10 + 1z = -16

Add '-10' to each side of the equation.
10 + -10 + 1z = -16 + -10

Combine like terms: 10 + -10 = 0
0 + 1z = -16 + -10
1z = -16 + -10

Combine like terms: -16 + -10 = -26
1z = -26

Divide each side by '1'.
z = -26

Simplifying
z = -26

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