The idiom "it's no skin off my nose" means that something doesn't bother or affect you in any way. It's a way of saying that you don't care about something or that it doesn't matter to you.
For example, if someone asks you to do something that you don't want to do, you might say "it's no skin off my nose" to indicate that you don't mind either way.
The phrase "back" is often added to the end of the idiom to emphasize that the situation doesn't affect you at all. So, "it's no skin off my nose back" means that you are completely unaffected by the situation and it doesn't bother you in the slightest.
Overall, this idiom is used to express indifference or lack of concern about something. It's a casual and informal way of saying that something doesn't matter to you.
• John can complain about my work, but it's no skin off my nose.
• If you don't like my decision, it's no skin off my nose.
• It's really not important to me if we go to the beach or the mountains for vacation, it's no skin off my nose.
• As a CEO, I'm not concerned if a few employees quit, it's no skin off my nose.
• I couldn't care less if you choose to wear that outfit to the party, it's no skin off my nose.
• I don't mind if you don't like my favorite book, it's no skin off my nose.
• It’s no skin off my nose if you don’t want to eat pizza tonight.
• You don't have to worry about inviting me to your party, it's no skin off my nose.
• You can call me names, but it's no skin off my nose.
• It's no skin off my nose if you want to go to the movie alone.
• Losing a few dollars in the stock market is no skin off my nose.
• The criticism from the newspaper is no skin off my nose since I have a strong conviction in my abilities as a writer.