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Yes first of all, u know that a atom can have maximum of 2 valence electron or 8electrons right?? so if two atoms which has 1 v. electron bond, its oxidation can be +1 or -1. Also the same thing applies to the 8 valence electron, if there is two '4 v. electroned' atom, it can be +4 or -4..

the oxidation state/number can also change depending on the compound that the element is in.....

for example normally oxygen is -2 however in peroxide compounds it is -1

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