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Select the reason that proves this statement

Question

Select the reason that proves this statement.
Theorem: If a + c = b + c, then a = b.

1. Identity property of addition

2. Property of opposites

3. Given

4. Commutative property of addition

5. Associative property of addition

Addition property of equality

Answer
Its actually “the additive inverse property”.

A number c’ is called the additive inverse for c if c + c’ = 0 where 0 is the “identity element”.

The identity property of addition is the existence of the element ‘0’ such that for any elementc, c +0 = c.

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