For the given reaction
"Zn_{(s)}+Pb(NO_3)_{2(aq)} \\rightarrow Pb_{(s)}+Zn(NO_3)_{2(aq)}"
a balanced net ionic equation is
"Zn_{(s)}+Pb^{2+}_{(aq)} \\rightarrow Pb_{(s)}+Zn^{2+}_{(aq)}"
During the reaction
Zn(s) is oxidized and it is the reducing agent,
Pb(NO3)2(aq) is reduced and it is the oxidizing agent.
The balanced half reactions for the oxidation and reduction are following:
"Zn_{(s)} \\rightarrow Zn^{2+}_{(aq)} + 2e^-" (oxidation half-reaction)
"Pb^{2+}_{(aq)} +2e^- \\rightarrow Pb_{(s)}" (reduction half-reaction)
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