Answer:
![r = 16](https://img.qammunity.org/2023/formulas/mathematics/college/yorzwzu8zmaz91naoowk7p8771v1w70cnh.png)
Explanation:
![(r)/(16) + 6 = 7](https://img.qammunity.org/2023/formulas/mathematics/college/dzgxl799pjvwxddy92z8h5akde8fiismx4.png)
[ make the denominators same ]
![(r + 96)/(16) = 7](https://img.qammunity.org/2023/formulas/mathematics/college/ma6iv7eflhyyx1moxf4x6gojlgc26444h5.png)
[ changing sides, changes multiplication to division ]
[ changing sides, changes addition to subtraction ]
![r = 16](https://img.qammunity.org/2023/formulas/mathematics/college/yorzwzu8zmaz91naoowk7p8771v1w70cnh.png)
we can check if the value is correct or not:
If r = 16:
![(16)/(16) + 6](https://img.qammunity.org/2023/formulas/mathematics/college/5rwoxuban91l1a36h03fqotdl4yy1i63yx.png)
![1 +6](https://img.qammunity.org/2023/formulas/mathematics/college/scbwewwqv4by3d9e8bji707w1xjmd73gyt.png)
![7](https://img.qammunity.org/2023/formulas/mathematics/high-school/6ndslitjw1mgjy00cgc5ph80cjkygzgqq4.png)
[ Therefore r being 16, confirmed ]