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gen.	fulfill a promise; accomplish a promise; acquit oneself of a promise; make good; live up to the promise (raf); make good one's word (Vitalique); stand by one's promise (Anglophile); meet one's pledge (Anglophile); fulfil the promise (The mayor fulfilled the promise to start moving people into the False Creek social housing complex before Christmas. ART Vancouver); acquit oneself of promise; carry out pledge; carry out one's promise (Just how many of his promises will he actually be able to carry out? ART Vancouver)
busin.	redeem a promise
fig.	deliver as promised (SirReal)
Makarov.	carry out promise; keep one's promise; redeem a pledge
media.	implement promise (bigmaxus); keep a promise (bigmaxus); live up to a promise (bigmaxus)
polit.	honour the pledge (напр., предвыборное: The opposition critic says the public shouldn't expect that the government it's going to honour that pledge. ART Vancouver); deliver on one's promise (-я – -s ART Vancouver)
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gen.	deliver the goods (взятые на себя обязательства)
Игорь Миг	make good on the promises; deliver on the promises
Makarov.	deliver the goods; live up one's promises

выполнить обещание: 48 phrases in 7 subjects

American usage, not spelling	1
Business	2
Diplomacy	5
General	22
Makarov	15
Politics	2
Slang	1