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The period of the discrete-time signal $ x[n]$ described by the equation below is $N=$________ (Round off to the nearest integer).

$$x[n]=1+3 \sin \left(\frac{15 \pi}{8} n+\frac{3 \pi}{4}\right)-5 \sin \left(\frac{\pi}{3} n-\frac{\pi}{4}\right)$$
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