According to the commutative property of addition, the order of the addends does not affect the result. Thus,
A + B = B + A
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No. It is not.
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There is no property of addition that uses parentheses.
The reflexive property of relations is not the same as the addition property of equality.
Addition, by itself, does not have a distributive property. Multiplication has a distributive property over addition, according to which: a*(b + c) = a*b + a*c