Home group setup a vivcious cycle

I am trying to set up home group and switched the password to something easier to remember. This has now set up a cycle where I type the new password in the other computer in the change homegroup setting page and the Join now dialogue box is removed , however the join now dialogue box reappers in the oringinal computer that I changed the password on.

The dialogue box with the join now burtton states "windows detected another homegroupon your network. With a home group, you can share files ........ to devices."

I have continually typed the password on box compuers and one computer always reverts to the join now box. How do I solve this problem

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