By Stephen Singer From Hartford Courant Cigna Corp. has struck a $5.75 billion deal to sell its life, accident, and supplemental businesses to Swiss insurer Chubb Ltd. The agreement is “another step forward” in advancing Cigna’s strategic focus on its global health businesses, Chief Executive Officer David M. Cordani said in announcing the deal Thursday night. It’s expected to be completed next year. Chubb was rebuffed earlier this year when it made an unsolicited $23 billion offer for The Hartford Financial Services Group Inc. Chubb will acquire the Cigna businesses in Hong Kong, Indonesia, Korea, New Zealand, Taiwan and Thailand and Cigna’s interest in a joint venture in Turkey. In Korea, Chubb will acquire and plans to continue to operate the business under the LINA Korea brand, also known as Life Insurance Co. of North America. Cigna said it will continue to operate its international health businesses and local market …