for that reason; no wonder
Explains that something is the natural result or reason for what was just said, often translated as 'no wonder' or 'that's why'.
わけだ is used when you state a conclusion or reason that follows logically from something else. It often conveys a sense of realization or explanation. For example, if you see someone looking tired and they say they didn't sleep, you can say 眠らなかったわけだ, meaning 'That's why you're tired.' It can also mean 'no wonder' when you discover the cause of something. For instance, if you learn that a person is a professional chef, you might say 料理が上手なわけだ, meaning 'No wonder they're good at cooking.' This pattern is common in both speech and writing, but in casual conversation it's often shortened to わけ or んだ, but as a learner stick to the full form to be clear.