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a + b = a - b

Subtract a from each side:

+ b = - b

The only way that 'b' can equal its own negative is if b=0.

So (a + b) can equal (a - b) only if b=0.

(It doesn't matter what 'a' is.)

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Q: For real numbers a and b when is the equation a plus b equals a-b true?
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