I don't have any one reference, unfortunately, but, after spending time on Google, it seems that the body can get rid of excess fat cells, but it's very reluctant to do so (survival instincts). Most weight loss seems to be from a reduction in the amount of fat stored in existing cells. The best way to burn off that fat is to engage in exercise for extended periods, that is more than 20 - 30 minutes at a time, since that's how long it takes for your body to switch from using sugars as fuel to using its fat stores. Strength training is also essential since the added muscle will use more of the existing fat for energy.
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