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Q is calculated using non-equilibrium values. If Q>K, that means that the reaction will proceed to the left, or toward the reactants, to reach equilibrium. The products will be used up to produce more reactants, which in turn will raise the values for the reactants and lower the Q value until Q=K and equilibrium is established.
I think it's helpful (at least for me) to remember what Dr. Lavelle said about not thinking of Q > K as "overshooting". One example would be perhaps after reaching equilibrium, some reactant is consistently being used up in another reaction, so even though the backward reaction proceeds, Q remains larger than K.
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