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A number leaves a remainder $$2$$ when divided by $$6$$. Then the possible remainder or remainders when the same number is divided by $$9$$ is
Write the number as $$6k+2$$. Modulo $$9$$, the value depends on $$k\pmod3$$, giving the possible remainders $$2,8,5$$. Therefore the possible remainders are $$2,5,8$$.
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