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This video tutorial provides examples of recapitalization, starting with a scenario where ABC Company had $100 million in debt at the end of 2018. In 2019, ABC raised $20 million in new debt to buy back stocks. Before the recapitalization, the stock price was $10 and ABC had 70 million shares outstanding. To determine the number of shares after the recap, the formula Dnew - Dold / Pprior is used, where Dnew is the new debt raised in 2019, Dold is the debt in 2018, and Pprior is the stock price before the recap. By calculating the shares repurchased and subtracting it from the initial number of shares, we can find the total number of shares after the recap.