If you've deadlifted two 20lb dumbbells, that's only 4-5 lbs difference from the olympic bar. I did the original NROL Fat Loss I, II and III and Hypertrophy I all with dumbbells and it didn't seem to hinder me at all.
On a related note, Cosgrove's programs do push you, so you'll be prone to eat more. This is a consideration if weight loss is one of your goals.
At any rate, good luck with the challenge and achieving your goals.
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