Why are these states equivalent on this translation table
The two states F and G on similar inputs leads to a final state.
     w(F)+0*1 = w(final-state); 
     w(G)+0*1 = w(final-state);
Here, w(X) is the string that leads to the state X, and 
      + is concatenation operator.


Due to the above proposition, it is clear that the two states behave in the same manner and the system's functionality will be unaffected because of merging of these states.