Including debt, the deal is valued at $9.9 billion. : (Reuters) - KKR & Co said on Monday it will take U.S. physician services provider Envision Healthcare Corp <EVHC.N> private in a deal valued at $5.57 billion, its latest acquisition in the healthcare sector. The private equity firm saw off competition from peers Carlyle Group, TPG Global and others as it sealed the deal for $46 per share - a premium of 5.4 percent to Envision's last close on Friday. Envision's shares were up 2.4 percent at $44.7 in premarket trading. Including debt, the deal is valued at $9.9 billion.