8n-2=2(2n+10)

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Solution for 8n-2=2(2n+10) equation:


Simplifying
8n + -2 = 2(2n + 10)

Reorder the terms:
-2 + 8n = 2(2n + 10)

Reorder the terms:
-2 + 8n = 2(10 + 2n)
-2 + 8n = (10 * 2 + 2n * 2)
-2 + 8n = (20 + 4n)

Solving
-2 + 8n = 20 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-2 + 8n + -4n = 20 + 4n + -4n

Combine like terms: 8n + -4n = 4n
-2 + 4n = 20 + 4n + -4n

Combine like terms: 4n + -4n = 0
-2 + 4n = 20 + 0
-2 + 4n = 20

Add '2' to each side of the equation.
-2 + 2 + 4n = 20 + 2

Combine like terms: -2 + 2 = 0
0 + 4n = 20 + 2
4n = 20 + 2

Combine like terms: 20 + 2 = 22
4n = 22

Divide each side by '4'.
n = 5.5

Simplifying
n = 5.5

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