3. Determine the value of the variable

In a \(\triangle ABC\), \(DE \parallel BC\). If \(AD = 3a - 3\), \(DB = 3a - 1\), \(AE = 7a - 6\) and \(EC = 4a - 2\), then find the value of \(a\).
 
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The value of \(a\) is
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