T-Mobile plans to expand a recently introduced program that pays new customers up to $350 for breaking their contract with a rival carrier. After announcing it last week for customers of AT&T, Verizon and Sprint, the No. 4 U.S. carrier tells Re/code it will extend the offer to customers of U.S. Cellular and more than a dozen other small carriers that also require customers to sign long-term contracts. T-Mobile will also expand the number of handsets that customers can trade in and will even take damaged phones, though they may qualify for less credit. “This is not just a promotion,” T-Mobile marketing chief Mike Sievert told Re/code on Thursday. “What we are trying to do is bring an end to unfair one-way onerous contracts in this country.” Sievert said that more than 80,000 “breakup letters” have been posted on various social media sites by customers who have left rivals for T-Mobile since the promotion began.