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Bond order is simply the number of bonds that link a specific pair of atoms (from the textbook). For example, the bond order in the molecule is three, since they are bound by a triple bond. To determine the most stable structure, you should try to get the formal charges on each atom of the molecule as close to zero as possible. You also want to try to not have a charge on the center atom. To find the most stable structures, just remember to maximize resonance and minimize the charge distribution!
To add on, if you know that one of the atoms has to carry a nonzero formal charge (ie. the overall charge of the molecule is nonzero) but aren't sure which atom to put it on, put the more negative formal charge on the more electronegative atom
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