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

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


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

Reorder the terms:
8 + -2z(-1 + z) = 2z(3 + -1z)
8 + (-1 * -2z + z * -2z) = 2z(3 + -1z)
8 + (2z + -2z2) = 2z(3 + -1z)
8 + 2z + -2z2 = (3 * 2z + -1z * 2z)
8 + 2z + -2z2 = (6z + -2z2)

Add '2z2' to each side of the equation.
8 + 2z + -2z2 + 2z2 = 6z + -2z2 + 2z2

Combine like terms: -2z2 + 2z2 = 0
8 + 2z + 0 = 6z + -2z2 + 2z2
8 + 2z = 6z + -2z2 + 2z2

Combine like terms: -2z2 + 2z2 = 0
8 + 2z = 6z + 0
8 + 2z = 6z

Solving
8 + 2z = 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
8 + 2z + -6z = 6z + -6z

Combine like terms: 2z + -6z = -4z
8 + -4z = 6z + -6z

Combine like terms: 6z + -6z = 0
8 + -4z = 0

Add '-8' to each side of the equation.
8 + -8 + -4z = 0 + -8

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

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

Divide each side by '-4'.
z = 2

Simplifying
z = 2

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