# How do you solve -(3k-12)=48 using the distributive property?

May 3, 2018

$k = - 12$

#### Explanation:

We first simplify the left hand side using the distributive property, shown here:

Following this image, the left hand side of the equation would become:
$- 1 \cdot 3 k - 1 \cdot - 12$

$- 3 k + 12$

Putting this back into the equation:
$- 3 k + 12 = 48$

Now, subtract $\textcolor{b l u e}{12}$ from both sides of the equation:
$- 3 k + 12 \quad \textcolor{b l u e}{- \quad 12} = 48 \quad \textcolor{b l u e}{- \quad 12}$

$- 3 k = 36$

Divide both sides by $\textcolor{b l u e}{- 3}$:
$\frac{- 3 k}{\textcolor{b l u e}{- 3}} = \frac{36}{\textcolor{b l u e}{- 3}}$:

So:
$k = - 12$

Hope this helps!