Okay, so lets break this down.
Lets use b for the number since it says that you need to.
So the sum of a number times two (2n) and 19 can be shown as 2b+19 ≥ -27. Then, you subtract 19 from both sides and end up with 2b ≥ -46. Then divide by 2 on both sides and you get b ≥ -23.
Make sure to leave feedback and mark this as the answer. Thank you!