Update:
We also own two Next7p12's without Google Play. I used this same root for both of those and they rooted with no problem! I had to download Root Explorer, Root Checker, and SuperSu and put them on the SD card. I also copied the system folder/app from the "gapps-ics-20120429-signed" to the SD card. After I rooted the tablets, I installed Root Checker, then SuperSu, then Root Explorer. Then I copied the gapp files to the system/app directory using Root Explorer. Rebooted. Now I have the Play Store! Great Job!
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