Question

Use the distributive property to write an equivalent variable expression.

$\mathbf{11}\left(\mathbf{6}\mathbf{z}\mathbf{+}\mathbf{14}\right)$

Short answer

The equivalent expression for $11(6z+14)$ is $66z+154$.

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.

$\begin{array}{l}11(6z+14)=11\left(6z\right)+11\left(14\right)\text{}\left[\text{Distributiveproperty.}\right]\text{}\\ =66z+154\text{}\left[\text{Multiply.}\right]\text{}\end{array}$

.  Conclusion 

The equivalent expression for $11(6z+14)$ is $66z+154$.