8
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There are 1602 integers.
-4, -3, -2, -1, 0, 1 and 2.
Excluding the numbers in the question, the integers which fall between 2 and 8 are 3, 4, 5, 6, and 7.
The integers between -6 and 12 are: -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and 11.
8