z-2(z-1)=3z-(20-5z)

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Solution for z-2(z-1)=3z-(20-5z) equation:


Simplifying
z + -2(z + -1) = 3z + -1(20 + -5z)

Reorder the terms:
z + -2(-1 + z) = 3z + -1(20 + -5z)
z + (-1 * -2 + z * -2) = 3z + -1(20 + -5z)
z + (2 + -2z) = 3z + -1(20 + -5z)

Reorder the terms:
2 + z + -2z = 3z + -1(20 + -5z)

Combine like terms: z + -2z = -1z
2 + -1z = 3z + -1(20 + -5z)
2 + -1z = 3z + (20 * -1 + -5z * -1)
2 + -1z = 3z + (-20 + 5z)

Reorder the terms:
2 + -1z = -20 + 3z + 5z

Combine like terms: 3z + 5z = 8z
2 + -1z = -20 + 8z

Solving
2 + -1z = -20 + 8z

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-8z' to each side of the equation.
2 + -1z + -8z = -20 + 8z + -8z

Combine like terms: -1z + -8z = -9z
2 + -9z = -20 + 8z + -8z

Combine like terms: 8z + -8z = 0
2 + -9z = -20 + 0
2 + -9z = -20

Add '-2' to each side of the equation.
2 + -2 + -9z = -20 + -2

Combine like terms: 2 + -2 = 0
0 + -9z = -20 + -2
-9z = -20 + -2

Combine like terms: -20 + -2 = -22
-9z = -22

Divide each side by '-9'.
z = 2.444444444

Simplifying
z = 2.444444444

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