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The line 3x+2y=24 meets the y-axis at A ...

The line `3x+2y=24` meets the y-axis at `A` and the x-axis at `Bdot` The perpendicular bisector of `A B` meets the line through `(0,-1)` parallel to the x-axis at `Cdot` If the area of triangle `A B C` is `A` , then the value of `A/(13)` is________

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