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If ax+13y+bz+c=0 is a plane through the ...

If `ax+13y+bz+c=0` is a plane through the line intersection of `2x+3y-z+1=0, x+y-2z+3=0` and is perpendicular to the plane `3x-y-2z=4`, then the value of `2a+3b+4c` is equal to

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