Answer:
![2k+14](https://img.qammunity.org/2021/formulas/mathematics/high-school/nurn2plh38esmudwqlb6boshj27q6kfw4x.png)
Explanation:
Let k represents the number of books Trevor read last year.
We have been given that last year Lukas read 7 more books than Trevor. So books read by Lukas last year would be
.
We are also told that this year, Lukas read twice as many books as last year.
To find the expression that shows the number of books Lukas read this year, we will multiply books read by Lukas last year by 2 as:
![2(k+7)](https://img.qammunity.org/2021/formulas/mathematics/high-school/oi7boh1ngpy5ahckf1t2vj0ueqli0lyt7r.png)
Let us simplify our expression using distributive property
.
![2\cdot k+2\cdot 7](https://img.qammunity.org/2021/formulas/mathematics/high-school/b3ahhzkl3ozv0f913ytoj873sasbwdqhdc.png)
![2k+14](https://img.qammunity.org/2021/formulas/mathematics/high-school/nurn2plh38esmudwqlb6boshj27q6kfw4x.png)
Therefore, our required expression would be
.