## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

The absolute value of $x,$ written as $|x|,$ is the distance of $x$ from $0.$ Since it is a distance, then $|x|$ is a nonnegative number. In the same way, the left side of the given equation, $|5n+6|=-11,$ is always a nonnegative number for any value of $n.$ This will never be equal to the negative value at the right side. Hence, there is no solution.