Answer:
![\begin{gathered} -18(c-d) \\ =\text{ 18d-18c} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ltwwxekz1qiz363an8fck1s3vcl1outrex.png)
Step-by-step explanation:
Here, we want to translate the given statement into an algebraic expression
The product of -18 and the difference between c and d
The difference between c and d will be:
![c-d](https://img.qammunity.org/2023/formulas/mathematics/college/8mbv8ecimepc7t9jefh5a8mkx28matvg0x.png)
Then, we multiply -18 with this. That would give:
![-18(c-d)](https://img.qammunity.org/2023/formulas/mathematics/college/x0yc8u3ucqgs6bdsyiw7c5ypw7abjgr2t9.png)
Simplifying the above, we have:
![-18c\text{ + 18d = 18d-18c}](https://img.qammunity.org/2023/formulas/mathematics/college/ooz72d4dwf3b75jg19b2le711krz8pk9tm.png)