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

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


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

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

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

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

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

Combine like terms: 3z + 1z = 4z
2 + -1z = -8 + 4z

Solving
2 + -1z = -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.
2 + -1z + -4z = -8 + 4z + -4z

Combine like terms: -1z + -4z = -5z
2 + -5z = -8 + 4z + -4z

Combine like terms: 4z + -4z = 0
2 + -5z = -8 + 0
2 + -5z = -8

Add '-2' to each side of the equation.
2 + -2 + -5z = -8 + -2

Combine like terms: 2 + -2 = 0
0 + -5z = -8 + -2
-5z = -8 + -2

Combine like terms: -8 + -2 = -10
-5z = -10

Divide each side by '-5'.
z = 2

Simplifying
z = 2

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