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One possibility would be 27.

I see here on the odd locations a growing series, adding 8 each time:

15 +8 = 23; 23 +8 = 31; 31 + 8 = 39

For the even locations, you could take a diminishing series, subtracting 4 each time:

35 - 4 = 31; 31 - 4 = 27.

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Q: What is the missing number 15 35 23 31 31 - 39?
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