2(2n-8)=2(n+5)

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Solution for 2(2n-8)=2(n+5) equation: 


Simplifying
2(2n + -8) = 2(n + 5)

Reorder the terms:
2(-8 + 2n) = 2(n + 5)
(-8 * 2 + 2n * 2) = 2(n + 5)
(-16 + 4n) = 2(n + 5)

Reorder the terms:
-16 + 4n = 2(5 + n)
-16 + 4n = (5 * 2 + n * 2)
-16 + 4n = (10 + 2n)

Solving
-16 + 4n = 10 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-16 + 4n + -2n = 10 + 2n + -2n

Combine like terms: 4n + -2n = 2n
-16 + 2n = 10 + 2n + -2n

Combine like terms: 2n + -2n = 0
-16 + 2n = 10 + 0
-16 + 2n = 10

Add '16' to each side of the equation.
-16 + 16 + 2n = 10 + 16

Combine like terms: -16 + 16 = 0
0 + 2n = 10 + 16
2n = 10 + 16

Combine like terms: 10 + 16 = 26
2n = 26

Divide each side by '2'.
n = 13

Simplifying
n = 13

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