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Open Site settings at the root of your site collection;
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Select Solutions, under Web Design Galleries;

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Select the already existing web part solution and Deactivate it;
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Once it finishes deactivating, Delete the solution from the gallery;
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On the tool bar click Upload Solution and select the installation .wsp file (ex.BTXXX_x.x.x.x.wsp)

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As soon as the upload is complete, click on Activate and wait for the page to refresh.

Web Part upgraded! ✅