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In this video tutorial, examples of recapitalization are provided, starting with the scenario of ABC company having $100 million in debt at the end of 2018. In 2019, ABC raised $20 million in new debt to buy back stocks. Before recap, the stock price was $10 with 70 million shares outstanding. To determine the number of shares after recap, the formula is used: Shares after = Shares before - Shares repurchased. The aim is to calculate the shares repurchased by using the formula: (New debt raised - Old debt) / Prior price. In this example, the shares after recap are calculated by subtracting the shares repurchased from the initial 70 million shares.