Question

Use the distributive property to write an equivalent variable expression.

$\mathbf{8}\mathbf{(}\mathbf{4}\mathbf{-}\mathbf{7}\mathbf{w}\mathbf{)}$

Short answer

The equivalent expression for $8(4-7w)$ is $32-56w$.

Step-by-step solution

.  Recall the distributive property

The distributive property is given as, $a(b+c)=ab+ac$.

.  Simplify the expression

Now, use distributive property to simplify the given expression.

$\begin{array}{l}8(4-7w)\\ \text{=8(4)}-8\left(7w\right)\text{}\left[\text{Distributiveproperty.}\right]\text{}\\ =32-56w\text{}\left[\text{Multiply.}\right]\text{}\end{array}$

.  Conclusion 

The equivalent expression for $8(4-7w)$ is $32-56w$.