Question

How do you simplify `-w + 4 (w + 3)`?

Answer 1

`3w + 12`

Explanation:

`-w+4(w+3)`

To simplify this, first use the distributive property (shown below) to simplify/expand `4(w+3)`:

Following this image, we know that:
`color(blue)(4(w+3) = (4 * w) + (4 * 3) = 4w + 12)`

Put it back into the expression:
`-w + 4w + 12`

Combine the like terms `color(blue)(-w)` and `color(blue)(4w)`:
`3w + 12`

Hope this helps!