Question

Use the distributive property to write an equivalent variable expression.

$\left(6-2m\right)\left(-3\right)$

Short answer

The equivalent variable expression is $-18+6m$.

Step-by-step solution

Step-1 – Distributive property

For any real numbers a, b, and c, the distributive property is given by:

$a\left(b+c\right)=a·b+a·c$

Step-2 – Example of distributive property

To evaluate the expression $3\left(4+t\right)$, distribute 3 to both the terms inside the parenthesis and remove the parenthesis sign to get

$\begin{array}{c}3(4+t)=3\cdot 4+3\cdot t\\ =12+3t\end{array}$

Step-3 – Rewrite the given expression using distributive property

To write an equivalent variable expression for the given expression $\left(6-2m\right)\left(-3\right)$, distribute –3 to both the terms inside the parenthesis and simplify further by multiplying the numbers as shown below.

Thus, the equivalent variable expression for the given expression is$-18+6m$.