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# Floor

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Solve floor(r) + r = 12.2 - r.

May 2, 2022

We have $$\lfloor r \rfloor = 12.2 - 2r$$. Then 12.2 - 2r must be an integer. Then $$r = k + 0.1\text{ or }r = k + 0.6$$ for some integer k. Now you can substitute that and try to solve it like a linear equation.