Answer :

The answer is: [tex]13-\frac{2}{9}g[/tex]

The explanation is shown below:

1- You have the following expression given in the exercise:

[tex](\frac{30}{45}g+20)-(\frac{8}{9}g+7)[/tex]

2- When you multiply signs, you obtain:

[tex]\frac{30}{45}g+20-\frac{8}{9}g-7[/tex]

3. Now, you must add like terms, as following:

[tex]-\frac{2}{9}g+13[/tex]

4. Therefore, you have that the expression simplified is:

[tex]13-\frac{2}{9}g[/tex]