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It depends on what operations you are allowed to use, but if repeating decimals are allowed it is easy. I can't type a dot or bar over a digit to indicate a repeating decimal here, so I'll type .2r for .222222..., which is equal to 2/9. Thus 2/.2r is 9, so 2/.2r - 2 is 7, as required.

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Q: How do you make seven with three twos?
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