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Based on the calculations, the number of integers in this set are 33.

How to determine the number of integers?

Since the least integer of this set of consecutive even integer is -30. Thus, the sequence would be as follows:

-30, -28, -26, -24,....0.

Based on the given sequence, we have:

n/2[(2 × (-30)) + (n - 1) × 2] = 66

n [-30 + n - 1] = 66

n(n - 31) = 66

n² - 31n - 66 = 0

Factorizing the quadratic equation, we have:

n² - 33n + 2n - 66 = 0

n(n - 33) + 2(n - 33) = 0

(n - 33)(n + 3) = 0

Therefore, n = 33.

Read more on sequence here: https://brainly.com/question/219301

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