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Prove let n be an integer. Then the following are equivalent. 1. n is an even...

Prove let n be an integer. Then the following are equivalent.

1. n is an even integer.

2.n=2a+2 for some integer a

3.n=2b-2 for some integer b

4.n=2c+144 for some integer c

5. n=2d+10 for some integer d

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