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For each given reaction, there would be only one unique rate law. Thus, the rate law of a reaction cannot sometimes be first order, sometimes second order. In addition, you cannot determine directly from the written reaction what order it is. It can only be determined by experiment.
You can't just make it first order. The order of a reaction is determined empirically and cannot be changed. However, if you had a reaction that was simply first order the rate law would appear as Rate = k[A]. Also, a second order rate law is rate = k[A]2.
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