A parallelogram on the coordinate plane is defined by the following lines: ⎩⎪⎪⎨⎪⎪⎧y=4x+5y=4x+3y=nx+5y=nx+3
If the area of the parallelogram is 16, then n can be expressed as qp, where p,q are coprime positive integers. Find the smallest possible value of p+q.
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