# How do you solve 4=4(k+3) using the distributive property?

Aug 11, 2016

k = - 2

#### Explanation:

The distributive property means multiplying the terms inside the bracket by 4.

$\Rightarrow 4 = \textcolor{red}{4} \left(k + 3\right) = 4 k + 12$

we now have to solve 4k+ 12 = 4

subtract 12 from both sides of the equation.

$\Rightarrow 4 k + 12 \cancel{- 12} = 4 - 12$

That is : 4k = - 8

divide both sides by 4.

$\Rightarrow \frac{{\cancel{4}}^{1} k}{\cancel{4}} ^ 1 = {\cancel{- 8}}^{- 2} / {\cancel{4}}^{1} \Rightarrow k = - 2$