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A good way to think of it is that the atoms of the products are created from the atoms of the reactants. They didn't just pop out of nowhere. (the atoms of the reactants are rearranged, bonded, etc. to become the products)
The easiest way for me to understand the law of conservation of mass in the setting of a chemical reaction is this is to think about what is happening on a molecular level during any type of chemical reaction. Chemical reactions involve the reshuffling, or rearranging of atoms (in the reactants) into a new form (the products). When glucose is burned by the cells in one's body, for example, each atom that was in the original configuration of a glucose molecule is broken apart and used in a different way, but no atoms disappear entirely--they are simply rearranged. I hope this helps!
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