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Given that

$1-\dfrac{1}{3}+\dfrac{1}{5}-\dfrac{1}{7}+ \cdots = \dfrac{\pi}{4},$

find the value of $n$ that satisfy the equation below:

$\dfrac{1}{1 \times 3}+\dfrac{1}{5 \times 7}+\dfrac{1}{9 \times 11}+ \cdots = \dfrac{\pi}{n}.$

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