#### Answer

all real numbers

#### Work Step by Step

$2(n-8)\lt16+2n\longrightarrow$ multiply using the distributive property
$2n-16\lt16+2n\longrightarrow$ subtract 2n from each side
$2n-16-2n\lt16+2n-2n\longrightarrow$ subtract
$-16\lt16$
Since -16 is less than 16, the solution is all real numbers.