2014 Cayley Problem 15

In the 4 \times 4 grid shown, each of the four symbols has a different value. The sum of the values of the symbols in each row is given to the right of that row. What is the value of \blacklozenge?

\begin{array}{|c|c|c|c|c}\hline \heartsuit & \triangle & \triangle & \heartsuit & 26 \\ \hline \triangle & \triangle & \triangle & \triangle & 24 \\ \hline \square & \blacklozenge & \heartsuit & \blacklozenge & 27 \\ \hline \square & \heartsuit & \square & \triangle & 33 \\ \hline \end{array}

\textbf{(A)}\ 5\quad \textbf{(B)}\ 6\quad \textbf{(C)}\ 7\quad \textbf{(D)}\ 8\quad \textbf{(E)}\ 9

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.