seo – Duplicate content as guest post

In this scenario.

I wrote an article on my blog. Then, another site of the same niche asks me to republish the same text on his blog, as a guest post, with my bio profile included and a link back to the original content. It's good for me to reach a wider audience.

I knew Google hated duplicate content. If I understood correctly, Google will know that my blog is the source of origin, since its first index, and that another blog will establish a link with the source.

There is no problem here? Should I ask for a canon on my blog? Or should I add a last paragraph saying "Original Content Published XXX"