Answer: -
The chemical reaction that is occurring is
Ca + Al(NO₃)₃ → Al + Ca(NO₃)₂
Balancing the nitrogen on both sides
Ca + 2 Al(NO₃)₃ → Al + 3 Ca(NO₃)₂
Balancing the calcium on both sides
3 Ca + 2 Al(NO₃)₃ → Al + 3 Ca(NO₃)₂
Balancing the aluminium on both sides
3 Ca + 2 Al(NO₃)₃ → 2 Al + 3 Ca(NO₃)₂
We see oxygen is balanced.
The balanced chemical equation for the reaction is
3 Ca + 2 Al(NO₃)₃ → 2 Al + 3 Ca(NO₃)₂