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peg away (at something)
To continue trying or working diligently (at something). I'm really not very good at math, but I've got to keep pegging away at it if I want to get into an engineering program. A: "Where's John?" B: "Oh, he's out in the garden pegging away."
Farlex Dictionary of Idioms. © 2015 Farlex, Inc, all rights reserved.
(at something) Go to plug away (at something).
McGraw-Hill Dictionary of American Idioms and Phrasal Verbs. © 2002 by The McGraw-Hill Companies, Inc.