2(z-2)+2z=z+20

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Solution for 2(z-2)+2z=z+20 equation:


Simplifying
2(z + -2) + 2z = z + 20

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

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

Reorder the terms:
-4 + 4z = 20 + z

Solving
-4 + 4z = 20 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
-4 + 4z + -1z = 20 + z + -1z

Combine like terms: 4z + -1z = 3z
-4 + 3z = 20 + z + -1z

Combine like terms: z + -1z = 0
-4 + 3z = 20 + 0
-4 + 3z = 20

Add '4' to each side of the equation.
-4 + 4 + 3z = 20 + 4

Combine like terms: -4 + 4 = 0
0 + 3z = 20 + 4
3z = 20 + 4

Combine like terms: 20 + 4 = 24
3z = 24

Divide each side by '3'.
z = 8

Simplifying
z = 8

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