How to balance Fe (OH)2+o2+H2O -----Fe (OH)3 and why? .

How to balance Fe (2 valence)+O2+H2o ---Fe (3 valence)+Fe (OH)3?

Fe2+-e-=Fe3++4
O2+2H2O+4e-=4OH-
4Fe2++O2+2H2O=4/3Fe (OH)3+8/3Fe3++3
12Fe2++3O2+6H2O=8Fe3++4Fe (OH)3

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