Given a sequence with the general term \(x_n = \dfrac{4n-5}{9n+2} \). Let \(\displaystyle a = \lim_{n\to\infty} x_n \) and let the number of terms \(x_n\) lying outside the open interval \((a-0.1, a +0.1) \) be \(z\). Find \(2z\).

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