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Just be sure to know that while the reactant is still in the overall reaction equation, when you write out the rate law, it would be [A]^0 (assuming the reaction is zero order with respect to A) - which equals 1, therefore you wouldn't need to include it in the rate law when you're writing it out.
If a reactant is a zero order reactant, it would not be included in the overall rate law since anything to the 0th power as an exponent would be one. Also since it is a 0th order, changes to the concentration of that reactant would have no effect on the rate and therefore, it make sense that it would not be included in the rate law.
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