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Because when there is a positive and a negative in the same problem, it gives you a negative. An easy way to solve problems like that is if there is an odd number of negative signs, then your answer is going to be negative. If there is an even number of negative signs, then your answer is going to be positive. (no matter if there is a positive sign in a math problem).

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Q: Why does a positive times a negative produces a negative?
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