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Well the subtraction of integers is not a comunative because it's not a property it can't be true it's a algebraic equation
It means nothing, really. The distributive property is a property of multiplication over addition or subtraction. It has little, if anything, to do with integers.
Integers are closed under subtraction, meaning that any subtraction problem with integers has a solution in the set of integers.
they both have something to do with positive and negative
Yes.