So let's say you have some crayons, and you want to make a coloring book with your friend. But your friend lives far away, so you can't be in the same room to work on the book together.
Multi-master replication is like having two copies of the same coloring book, one at your house and one at your friend's house. You and your friend can both color in the book at the same time, and whatever you do on your copy gets copied over to your friend's copy, so you always have the same book no matter who colors what.
In computer terms, this is like having two databases that need to stay in sync with each other. Let's say you have a website and you want to keep all the information on the website consistent between two servers. Multi-master replication allows both of the servers to accept updates and changes, and those updates get synced over to the other server automatically. So no matter which server a visitor uses to view the website, they see the same information.
It's like having two crayon boxes in different places that are always full of the same colors, and whenever you use a color from your box, the same color disappears from your friend's box so they always have the same crayons as you. Both crayon boxes are working together to make sure you and your friend can both create the same beautiful coloring book!