2(n+8)=11-5(n-8)

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Solution for 2(n+8)=11-5(n-8) equation: 


Simplifying
2(n + 8) = 11 + -5(n + -8)

Reorder the terms:
2(8 + n) = 11 + -5(n + -8)
(8 * 2 + n * 2) = 11 + -5(n + -8)
(16 + 2n) = 11 + -5(n + -8)

Reorder the terms:
16 + 2n = 11 + -5(-8 + n)
16 + 2n = 11 + (-8 * -5 + n * -5)
16 + 2n = 11 + (40 + -5n)

Combine like terms: 11 + 40 = 51
16 + 2n = 51 + -5n

Solving
16 + 2n = 51 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
16 + 2n + 5n = 51 + -5n + 5n

Combine like terms: 2n + 5n = 7n
16 + 7n = 51 + -5n + 5n

Combine like terms: -5n + 5n = 0
16 + 7n = 51 + 0
16 + 7n = 51

Add '-16' to each side of the equation.
16 + -16 + 7n = 51 + -16

Combine like terms: 16 + -16 = 0
0 + 7n = 51 + -16
7n = 51 + -16

Combine like terms: 51 + -16 = 35
7n = 35

Divide each side by '7'.
n = 5

Simplifying
n = 5

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