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The average O.N. of C in `CH_(3)COOH` can be calculated as follows. <br> `overset(x+1)(CH_(3))overset(x-2)(CO)overset(-2+1)(OH)` <br> `(x)+[(+1)xx3]+(x)+[(-2)xx2]+(+1)=0` <br> or <br> Let us consider the structure of `CH_(3)COOH`, <br> `H-underset(H)underset(|)overset(H)overset(|2)C-overset(O)overset(||1)C-O-H` <br> `C_(2)` is attached to three H atoms and one -COOH group (ON. = -1). <br> `:.` For this carbon, <br> `[(+1)xx3]+(x)+(-1)=0` <br> or x=-2 <br> `C_(1)` is attached to one -OH group (O.N. = -1), one o atom (O.N. = -2) and one- `CH_(3)` group (O.N,=+1). Therefore, for `C_(1)`. <br> `(+1)+(x)+(-2)+(-1)=0` <br> or x=+2.