re: Starting a diet

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Well since fat weighs less than muscle it's possible that the fat eater would way less.

If you are talking purely about weight loss and caloric intake, not health, not how you look, not how you feel, not your energy, but just poundage, a calorie is a calorie.

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You're being intentionally obtuse

People who go on diets to lose weight do so with the intention of losing fat and improving their body composition

They're not doing it for the pure purpose of losing weight at the expense of muscle atrophy and fat gain in some sort of mathematical trade off