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

Jun 11, 2018

$3 w + 12$

Explanation:

$- w + 4 \left(w + 3\right)$

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

Following this image, we know that:
$\textcolor{b l u e}{4 \left(w + 3\right) = \left(4 \cdot w\right) + \left(4 \cdot 3\right) = 4 w + 12}$

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

Combine the like terms $\textcolor{b l u e}{- w}$ and $\textcolor{b l u e}{4 w}$:
$3 w + 12$

Hope this helps!