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Through your sweat, urine and breath.

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When you lose weight, the fat in your body is primarily eliminated through a process called metabolism. As you burn more calories than you consume, your body breaks down fat stores to use as energy. This process results in the release of fatty acids, which are then metabolized and converted into energy for your body's functions. The byproducts of this metabolic process are then excreted from your body through various means, including sweat, urine, and even your breath. So, in essence, losing weight involves the breakdown and elimination of fat stores as your body seeks to meet its energy needs.