Question

Rewrite each expression using the distributive property. Then simplify.

$-6\left(4z+3\right)$

Short answer

The simplified expression is $-24z-18$.

Step-by-step solution

Step 1. Distributive property.

If $a,b$and $c$are three real numbers then$a·\left(b+c\right)=a·b+a·c$

Step 2. Application of distribution property.

Apply the distributive property to get

$$\begin{gathered} -6\left(4z+3\right)=\left(-6\right)\left(4z+3\right) \\ =\left(-6\right)·4z+\left(-6\right)·3\left[\mathrm{By}\mathrm{Distribution}\mathrm{property}\right] \end{gathered}$$

Step 3. Simplifying the expression.

Simplify further by multiplying the numbers to get

$\left(-6\right)·4z+\left(-6\right)·3=-24z-18$