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

Jul 1, 2018

$48 - v$

#### Explanation:

$21 - 8 \left(v - 3\right) + 3 + 7 v$

First, combine like terms: $\textcolor{b l u e}{\left(21 + 3\right)}$
$24 - 8 \left(v - 3\right) + 7 v$

To simplify this, use the distributive property:

Following this image, we know that:
$\textcolor{b l u e}{- 8 \left(v - 3\right) = \left(- 8 \cdot v\right) + \left(- 8 \cdot - 3\right) = - 8 v + 24}$

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

Combine like terms:
$48 - v$

Hope this helps!