You ordered a steak at a restaurant and asked for it to be cooked medium-rare. When your dinner comes, the steak is over-cooked. You call the waiter over to your table and say:
I hate to cause trouble, but I ordered this medium-rare.
When people have to tell someone something negative, they often start with "I hate to ___, but..." For example:
I hate to have to tell you this, but your job has been eliminated.
When you start the conversation in this way, it sounds like you don't want to say these things, but you are doing it because you have to.
To "cause trouble" is to do something that makes problems for other people.
"Trouble" can include things like arguments and disagreements. But people also say that you're "causing trouble" if you make requests or suggestions that cause people to have to work a lot harder. For example, if there's someone at work who points out extra work that needs to be done, you can ask a coworker:
Why is he always causing trouble?
"Cause trouble" is used in some set phrases like the one above. Others include:
I didn't mean to cause any trouble.
You use this when you did something that made problems for people, but you don't want people to think you did it on purpose.
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