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

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


Simplifying
2(5 + -2z) = 20 + -2(z + -1)
(5 * 2 + -2z * 2) = 20 + -2(z + -1)
(10 + -4z) = 20 + -2(z + -1)

Reorder the terms:
10 + -4z = 20 + -2(-1 + z)
10 + -4z = 20 + (-1 * -2 + z * -2)
10 + -4z = 20 + (2 + -2z)

Combine like terms: 20 + 2 = 22
10 + -4z = 22 + -2z

Solving
10 + -4z = 22 + -2z

Solving for variable 'z'.

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

Add '2z' to each side of the equation.
10 + -4z + 2z = 22 + -2z + 2z

Combine like terms: -4z + 2z = -2z
10 + -2z = 22 + -2z + 2z

Combine like terms: -2z + 2z = 0
10 + -2z = 22 + 0
10 + -2z = 22

Add '-10' to each side of the equation.
10 + -10 + -2z = 22 + -10

Combine like terms: 10 + -10 = 0
0 + -2z = 22 + -10
-2z = 22 + -10

Combine like terms: 22 + -10 = 12
-2z = 12

Divide each side by '-2'.
z = -6

Simplifying
z = -6

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