What is the additive inverse of - 4a

The additive inverse of something is the number that, if you add it to the original number, you get 0.

The additive inverse of 5, for example, is - 5. 5 plus - 5 = 0.

You should be able to see how additive inverses are always going to be just the original number with the signs changed. (i. e., times - 1)

The additive inverse of - 4a would be 4a. - 4a + 4a = 0.