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The positive integer value of $$n > 3$$ satisfying the equation $$\frac{1}{\sin\left(\frac{\pi}{n}\right)} = \frac{1}{\sin\left(\frac{2 \pi}{n}\right)} + \frac{1}{\sin\left(\frac{3 \pi}{n}\right)}$$ is
Correct Answer: 7
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