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A negative plus a negative equals a negative because the operation you're doing is equivalent to subtraction.

If you wrote down a sum "negative 3 plus negative 7" it would look like this:

-3+-7

which is the same as

-3-7

Whenever you add a negative number you are actually taking more away, and this is why a negative plus a negative equals a negative - You start with a negative number, and are taking even more away, so you will only ever end up with a negative number.

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Q: Why does a negative plus a negative equal a negative?
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