\(A, B\) and \(C\) are different prime numbers, and positive integer \(D\) is a non-prime number. If \(D\) divided by

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\(A, B\) and \(C\) are different prime numbers, and positive integer \(D\) is a non-prime number. If \(D\) divided by \(C\) equals \(B\) with remainder \(A,\) what is the smallest possible value of \(B + C?\)

A) 8
B) 10
C) 12
D) 14
E) 18

[spoiler]OA=B[/spoiler]

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