The answer is: ![13-\frac{2}{9}g](https://tex.z-dn.net/?f=13-%5Cfrac%7B2%7D%7B9%7Dg)
The explanation is shown below:
1- You have the following expression given in the exercise:
![(\frac{30}{45}g+20)-(\frac{8}{9}g+7)](https://tex.z-dn.net/?f=%28%5Cfrac%7B30%7D%7B45%7Dg%2B20%29-%28%5Cfrac%7B8%7D%7B9%7Dg%2B7%29)
2- When you multiply signs, you obtain:
![\frac{30}{45}g+20-\frac{8}{9}g-7](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B45%7Dg%2B20-%5Cfrac%7B8%7D%7B9%7Dg-7)
3. Now, you must add like terms, as following:
![-\frac{2}{9}g+13](https://tex.z-dn.net/?f=-%5Cfrac%7B2%7D%7B9%7Dg%2B13)
4. Therefore, you have that the expression simplified is:
![13-\frac{2}{9}g](https://tex.z-dn.net/?f=13-%5Cfrac%7B2%7D%7B9%7Dg)