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K is the equilibrium constant so it doesnt really change as it is based on when the equation is at equilibrium. However Q is not a constant and is when the reaction is not at equilirbium. Hence Q should be the only one that changes.
Removing the products would just affect Q since K only changes when temperature changes. According to one part of the Le Chatelier's principle , when a system at equilibrium is disturbed by a change in concentration of one of the components, the system will shift its equilibrium (Q would change ) until it reaches equilibrium.
When removing chemicals from either side of a reaction, the the equilibrium quotient will change however not the equilibrium constant. The products and reactants would reach the equilibrium level after sometime but the final concentrations from each side will be different than when you started. Additionally, the k constant will only change as a response to a change in temperature (favoring endothermic reactions when temperature is increased) and pressure (favoring reactions with fewer particles [shorthand] when pressure is increased/volume is decreasing).
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