Do You Have These Oval Toilet Paper Holders?

It took a few minutes to figure these out.  On one end there is a hole that you insert the end of a paper clip into, to release the holder.

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Slide old roll off

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Slide new one on

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Insert the wider side into the left side of holder.  It has a black pin.

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Push the silver pin in so you can slide it into the hole on the right side of holder.
You are good to go!