We have the following vectors:
u = <-6, -2>
v = <-2, 3>
Let's multiply each vector by its corresponding scale:
-3u = <18, 6>
2v = <-4, 6>
Now we add the new vectors:
-3u + 2v = <18, 6> + <- 4, 6>
-3u + 2v = <(18-4), (6 + 6)>
-3u + 2v = <14, 12>
Answer:
-3u + 2v = <14, 12>