3 consecutive even integers = n, n+2, n+4

The prompt can be translated to: 3n=2(n+4)+2, simplified we get: 3n=2n+10.

Scanning the answer choices, the simplest "n" value to test would be 10. Plug 10 in for all "n"s.

3(10)=2(10)+10, simplified 30=30. This is the only answer choice that will produce this result. "N" has to be 10. Plug 10 into the equation for the third value and the result is 14. Answer choice E.

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