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No, not always. but sometimes yes.

Take the structure of water (H2O) for instance. Oxygen already has six electrons, which means it has two sets of two electrons, and two sets of one electrons. The two sets of two electrons are non-bonding electrons, which means they cannot bond with anything, the two spots for electrons have already been filled. But since the hydrogens have only one electron, and need another to fill the first shell, and the oxygen molecule needs another two electrons to fill its second shell, the hydrogen shares it's electron with the oxygen. Remember two electrons are needed to form a bond. Something like CH4 (Methane) uses all electrons, with one carbon and four hydrogens.

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