AMO 2019 – Secondary 3 (Grade 9) Question 23

The absolute value $|N|$ is the distance from $N$ to $0$, regardless of sign; for example $\left|+5\right|=5$, $\left|-3\right|=3$. Find the sum of all integers $N$ satisfying $$15>\dfrac{30}{\left|N-3\right|}>6.$$