# How do you solve -5(-2-3k)=-65 using the distributive property?

Sep 2, 2017

$k = - 5$

#### Explanation:

$\text{multiply the terms in the bracket by - 5}$

$\Rightarrow 10 + 15 k = - 65 \leftarrow \textcolor{b l u e}{\text{ distributive property}}$

$\text{isolate 15k on the left by subtracting 10 from both sides}$

$\cancel{10} \cancel{- 10} + 15 k = - 65 - 10$

$\Rightarrow 15 k = - 75$

$\text{divide both sides by 15}$

$\frac{\cancel{15} k}{\cancel{15}} = \frac{- 75}{15}$

$\Rightarrow k = - 5$

$\textcolor{b l u e}{\text{As a check}}$

#Substitute this value into the equation and if both sides are equal then it is the solution.

$\text{left "=-5(-2+15)=-5xx13=-65=" right}$

$\Rightarrow k = - 5 \text{ is the solution}$