Does the order in which you add two integers with the same sign affect the sum

If you add positive 5 and positive 5, you'll get positive 10.
If you add positive 5 and negative 5, you'll get positive 0.
If you add negative 5 and negative 5, you'll get negative 10.

-5 + 5 = -5 + 5
5 + 5 = 5 + 5
- 5 + -5 = -5 + -5

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