Algebraic Expressions, Identities and Formulae - Addition and Subtraction of Algebraic Fractions

The sum of \(\frac{3}{5x+4}\), \(\frac{7}{4-5x}\) and \(\frac{px+q}{16-25x^2}\), where \(p\) and \(q\) are constants, is \(\frac{Ax+B}{25x^2-16}\).

Find an expression, in terms of \(p\) and / or \(q\), for \(A\) and \(B\).