7. Determine the value of the variable

In a \(\triangle ABC\), \(DE \parallel BC\). If \(AD = 6z - 4\), \(DB = 5z - 2\), \(AE = 6z - 6\) and \(EC = 4z - 4\), then find the value of \(z\).
 
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The value of \(z\) is
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