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If you are multi class you do NOT get the full con bonus for your hit points it is divided by the number of classes you are playing.
i.e Cleric/fighter gets d10/2 hit points per level for the fighter and d8/2 hit points per level for the cleric.
If he had say 16 con he would get an extra one hp for each fighter level and one extra hp for each cleric level-a total of +2, which is the same he would get if he were a single class character.
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