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n, n + 2 - two consecutive even integers

the sum of two consecutive even integers is greater than or equal to 34

n + (n + 2) ≥ 34

n + n + 2 ≥ 34

2n + 2 ≥ 34       subtract 2 from both sides

2n ≥ 32      divide both sides by 2

n ≥ 16

Answer: The smallest possible integers is equal 16.

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