Annie,
Pre-exposure of film is normally done in situations involving extreme scene brightness ratios. Let's take a situation in which you measure the low values (using your example) of nine on your meter as the Zone II placement and that you then find that your brightest value in the scene falls on a a Zone IX. Let's say that you really want more detail in the shadows then a Zone II value but to do so would increase the high value placement even more. Since you are in reciprocity with it's attending increased contrast conditions you decide against placing your low values higher in the exposure.

What a Zone II pre-exposure will do is bump your Zone II scene shadow to a Zone III density on your film. Pre exposure will not work without using diffusion-by this I mean that you must meter through the diffusion and you must pre-expose through the diffusion.

What we want in pre-exposure is non-image bearing light. When you then give a normal exposure and develop your negative normally it will then give you a density range of III to IX. However in printing the negative you can have this represented as a print tonal value of II to VIII since film will record more luminance then paper.

Now to your question. If you metered the scene as described you would disregard the pre-exposure and give the film the exposure indicated by your first meter reading. Since you are into the realm of reciprocity you would also reduce development from what your normal time is to compensate for the increased contrast that all reciprocity exposures produce.

Forgive the lengthy answer but I felt that it was important to convey the considerations that were involved in your question.