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Because his example occurred under acidic conditions, the redox reaction becomes more complicated as ions from the aqueous solutions will interact with each other. This is why he separates them into 2 half-reactions, one for the oxidation reaction and one for the reduction reaction.
Lavelle suggested to split the redox reaction into two half reactions which separate the oxidation and the reduction reactions. You can use it to find out which elements are oxidized and reduced, and also balance redox reactions (since the number of electrons transferred should cancel out in the two half reactions combined.
To better understand the process of a redox reaction, it is recommended to split the reaction into an oxidation and reduction reaction. This lets us identify which species is oxidized and reduced, and also allows us to balance the redox reaction via the electrons.
To add on to previous responses, if you're given an unbalanced (stiochiometrically and unbalanced charge) starting equation, it's much easier to balance the half reactions individually than the net reaction right off the bat.
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