Let A(2, -3) and B(-2, 1) be vertices of...

Let A(2, -3) and B(-2, 1) be vertices of a triangle ABC. If the centroid of this triangle moves on the line `2x+3y=1`, then the locus of the vertex C is the line

A

`2x+3y=9`

B

`3x-2y=3`

C

`3x+2y=5`

D

`2x-3y=7`

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