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This is talking about whether the equilibrium sits more toward the product or the reactant side of the reaction. Sitting to the left refers to having a higher reactant concentration at equilibrium and K value that's less than 1. On the other hand, sitting to the right refers to having a higher product concentration at equilibrium and K value that's greater than 1.
Dr. Lavelle also said in lecture that he doesn't like when books/students use this phrasing, and prefers the more accurate "this reaction favors the products (sits to the right)" or "this reaction favors the reactants(sits to the left)".
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