Question

How do you combine like terms in `-3v + 2v + 6- 3v - 9- v`?

Answer 1

Combine like terms as well as their signs

Explanation:

`-3v + 2v + 6 - 3v - 9 - v`

Start with the first term `-3v` and combine any other terms that have a `v` with it, which would be `2v`, `-3v`, and `-v`

`2v - 3v - v`

`2v - 3v = -v`
`-v - v = -2v`

Next, combine any integers, which would be 6 and -9

`6 - 9 = -3`

So, your final answer would be:
`-3v + 2v + 6 - 3v - 9 - v = -2v - 3`

Answer 2

`-5v-3`

Explanation:

It helps to re-arrange the terms first, making sure that the sign stays with the term following it. Put any plus signs first.

`-3v+2v+6-3v-9-v" "larr` there are 6 terms

`= color(red)(+2v-3v-3v-v " ") color(blue)( + 6-9)" "larr` like terms are together.

Add all the terms which have the same signs first

`=color(red)(+2v-7v)color(blue)( +6-9)`

Now work with the terms which have different signs
`rarr` subtract the numbers, keep the sign of the one that is 'more'

`color(red)(-5vcolor(blue)( -3)`

Unlike terms, so we cannot simplify further.