\[\begin{equation} \begin{split} T - 50 & = 5a_1 \\ 30 - T & = 3a_2 \\ 2T - 40 & = 4a' \\ a' & = a_1 + a_2 \end{split} \end{equation} \]

From the four linear equations above of real values \(T\), \(a'\), \(a_1\) and \(a_2\), find \(19(T + a' + a_1 + a_2)\).

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