the given reaction is
N2H4 + Cu(OH)2 ---> N2 + Cu
consider the half reactions
Cu(OH)2 ----> Cu
N2H4 ---> N2
1) first balance the atoms other than 0 and H
so
Cu(OH)2 ---> Cu
N2H4 ---> N2
2) now
balance oxygen by adding H20
so
Cu(OH)2 ---> Cu + 2H20
N2H4 ---> N2
now
3) balance hydrogen by adding protons
so
Cu(OH)2 + 2H+ ---> Cu + 2H20
N2H4 ---> N2 + 4H+
4) now
balance charge with e-
so
Cu(OH)2 + 2H+ + 2e- ----> Cu + 2H20
N2H4 ---> N2 + 4H+ + 4e-
5)
use multiples to get equal electrons in both reactions
so
2Cu(OH)2 + 4H+ + 4e- ---> 2Cu + 4H20
N2h4 ---> N2 + 4H+ + 4e-
6)
now add the reaction and cancel out the common terms
we get
2Cu(OH)2 + N2h4 ---> 2Cu + N2 + 4H20
So
the balanced reaction is
2 Cu(OH)2 + N2H4 ---> 2 Cu + N2 + 4H20
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