To achieve 100 using six nines (9 9 9 9 9 9), you can combine them in the following way: (9 + 9) * (9 + 9) = 18 * 18 = 324. Then, subtract 9 from this result: 324 - 9 = 315. Finally, divide by 3: 315 / 3 = 105.
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