Bag \( 1 \) contains \( 4 \) white balls and \( 5 \) black balls, and Bag \( 2 \) contains \( n \) white balls and \( 3 \) black balls. One ball is drawn randomly from Bag \( 1 \) and transferred to Bag \( 2 \). A ball is then drawn randomly from Bag \( 2 \). If the probability, that the ball drawn is white, is \(\displaystyle \frac{29}{45} \), then \( n \) is equal to:
