2025 AMC 8 Problem 14

A number N is inserted into the list 2, 6, 7, 7, 28. The mean is now twice as great as the median. What is N?

\textbf{(A)} 7 \qquad \textbf{(B)} 14 \qquad \textbf{(C)} 20 \qquad \textbf{(D)} 28 \qquad \textbf{(E)} 34

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.