What the ... problem!

\(p\) and \(q\) are the digits of a positive two digit integer such that \(p > q\) and \(p-q=n.\)

If the 2 digit number \( \overline{pq} \) is divided by the sum of its digit, the quotient is 7 and the remainder is \(n\). Find the value of \(n\).

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