Balance each of the following skeletal equations by using oxidation and reduction half-reactions. All the reactions take place in basic solution. Identify the oxidizing agent and reducing agent in each reaction.

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(a) Production of chlorite ions from dichlorine heptoxide by reac- tion with hydrogen peroxide solution: Cl₂O(g) + H₂O₂(aq) → ClO₂ (aq) + O₂(g) (b) Reaction of permanganate ions with sulfide ions: MnO4 (aq) + S²-(aq) →→→ S(s) + MnO₂(s) (c) Reaction of hydrazine with chlorate ions: N₂H4(g) + ClO3(aq) NO(g) + Cl(aq) (d) Reaction of plumbate ions and hypochlorite ions: Pb(OH)2 (aq) + CIO¯(aq) →→→→ → PbO₂ (s) + Cl¯(aq)