In triangle \(ABC\), the side lengths are given as \(AB = 6\) units, \(BC = 8\) units, and \(CA = 10\) units. A line parallel to side \(BC\) is drawn through point \(D\) on \(AB\) such that it intersects \(AC\) at point \(E\). If the length of \(AD\) is \(3\) units, find the length of \(DE\). Let's think step by step and output the final answer within \boxed{}.
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