Question

How do you simplify `21-8(v-3)+3+7v`?

Answer 1

`48 - v`

Explanation:

`21 - 8(v-3) + 3 + 7v`

First, combine like terms: `color(blue)((21 + 3))`
`24 - 8(v-3) + 7v`

To simplify this, use the distributive property:

Following this image, we know that:
`color(blue)(-8(v-3) = (-8 * v) + (-8 * -3) = -8v + 24)`

Therefore, the expression becomes:
`24 - 8v + 24 + 7v`

Combine like terms:
`48 - v`

Hope this helps!