How Do You Balance Zinc and Nitrate in a Basic Solution?

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The discussion centers on balancing the chemical equation involving nitrate ions and zinc in a basic solution. The equation presented is NO3-(aq) + Zn(s) --> Zn2+(aq) + NO(g), and the user seeks to determine the correct coefficients for balancing it. After some analysis, they realize their mistake was incorrectly labeling hydrogen as a negative ion in the reduction reaction. The user ultimately concludes they understand the balancing process now. The correct coefficients for the equation are not explicitly stated but are implied to be resolved through the user's learning process.
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I don't understand this question in my chemistry book. It's not homework, I'm just studying, but I would really like to know.

What are the coefficients in front of nitrate ion and zinc when the following equation is balanced in a basic solution:

___ NO3-(aq) + ___ Zn(s) --> ___ Zn2+(aq) + ___ NO(g)?

1) 2, 5
2) 2, 3
3) 3, 4
4) 3, 2

That's the nitrate ion, zinc, zinc with a 2+ charge, and NO. Can someone explain how to do this? Also, what is the answer, so I can work backwards?

So far, it looks to me like both reactants are being oxidised, so I'm left with a big half-reaction with electrons.
 
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Alright, I finally got it! As it turns out, my error the whole time was labeling H as a negative ion in my reduction reaction.
 
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