Question

How do you simplify `-2(-2u-w)-3(5w+3u)`?

Answer 1

`-5u-13w`

Explanation:

`-2(-2u-w) - 3(5w+3u)`

Use the distributive property to simplify `-2(-2u-w)` and `-3(5w+3u)`:

Following this image, we know that:
`color(blue)(-2(-2u-w) = (-2 * -2u) + (-2 * -w) = 4u + 2w)`
and
`color(blue)(-3(5w+3u) = (-3 * 5w) + (-3 * 3u) = -15w - 9u)`

Combine the two expressions:
`4u + 2w - 15w - 9u`

Combine like terms:
`-5u-13w`

Hope this helps!