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Question Id : 14766 | Context : JEE Main 2025 (2 April Morning Shift)
If the system of linear equations

$ \begin{aligned} & 3 x+y+\beta z=3 \\ & 2 x+\alpha y-z=-3 \\ & x+2 y+z=4 \end{aligned} $

has infinitely many solutions, then the value of $22 \beta-9 \alpha$ is


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