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The deal marks a profitable exit for Mr. Bronfman and private equity partners Thomas H. Lee and Bain Capital, who have agreed to vote their combined 56 percent stake in favor of the deal. Thanks to special dividends and management fees over the years, investors have gotten back their $1.05 billion investment, plus 30 percent more.

The sale, expected to close by September, adds to that.

“We believe this transaction is an exceptional value-maximizing opportunity that serves the best interests of stockholders as well as the best interests of music fans, our recording artists and songwriters, and the wonderful people of this company,” said Mr. Bronfman in a statement.

The investors wanted to sell Warner Music quickly because of the pending sale of EMI.

“When you have two major companies that are trying to sell, that would have had an impact on prices,” said Standard & Poor’s equity analyst Tuna Amobi. “They’re probably going to take this money and run.”

Warner Music’s stock rose 18 cents, or 2.3 percent, to $8.09 in afternoon trading Friday. It was just short of the $8.25 per share sale price, but near the high end of its 52-week range of $4 to $8.15.