Deutsche Telekom AG sweetened the debt terms of an October proposal to merge its T-Mobile USA unit with MetroPCS Communications Inc. to placate shareholders.

In what it called a “best and final offer,” Deutsche Telekom cut the amount of debt it’s imposing on the combined company by $3.8 billion, according to a statement from the Bonn- based company yesterday. The carrier also lowered the interest rate it plans to charge on the loan by half a percentage point.

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