Two metal sticks **A** and **B** are fixed on the left wall in the above diagram. The lengths and the linear expansion coefficients of **A** and **B** are \(3L\), \(\alpha\) and \(L\),\(2\alpha\), respectively. A third metal stick **C** with length \(3L\) is fixed on the right joint bar on which the right end of **B** is also fixed. Suppose that there is a temperature change \(\Delta T\) which is the same for all of **A**, **B** and **C**, and the distance between the wall and **C** remains constant, which is \(L_0\) as shown in the diagram. What is the linear expansion coefficients of the metal **C**?

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