Do I need to determine their values first?

Algebra Level 3

\[\large 2a^2 + 3b^2 = 7ab, \ \ \ \ \ 0 < a <b \]

If \(a,b\) satisfy the conditions given above, and that \( \frac{a-3b}{a+3b} \) can be expressed as \(-\frac qs \) for coprime positive integers \(q,s\), find \(q+s\).

This problem is not original.
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