a + b = b + a
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Why? - Mainly to help in solving equations.
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
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