The sum of three numbers \(a, b\) and \(c\) is 60. If we decrease \(a\) by 7, we get the value \(N\). If we increase \(b\) by 7, we get the value \(N\). If we multiply \(c\) by 7, we also get the value \(N\). What is the value of \(N\)? Let's think step by step and output the final answer within \boxed{}.
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