Let \( f(x) = \frac{-px-3}{-qx+3} \) and let \(g(x)\) be the inverse of \(f(x).\) If the point \( (7, -22) \) is on both of the graphs \( y = f(x) \) and \( y = g(x), \) then what is the value of \( p + q?\)

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