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Is it possible to burn fat without changing my weight?

I have been working a very labor intensive job for about 3 months now and have lost enough inches on my waist to go down two pants sizes yet my total weight when I go on the scale remains around the same. How is it possible that I lost 4 or 5 inches off my waist yet the scale doesn't change? Is it possible what weight in fat I am loosing is made up for with an increase in muscle mass?

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