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Each of the letters in the figure below represents a unique integer from $1$ to $9$. The letters are positioned in the figure such that each of $(A+B+C), (C+D+E), (E+F+G)$ and $(G+H+K)$ is equal to $13$. Which integer does $E$ represent?

  1. $1$
  2. $4$
  3. $6$
  4. $7$
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