Answer:
None of those answers are right. It should be
![- (23)/(24)](https://img.qammunity.org/2022/formulas/mathematics/high-school/83nykg9vwe1f1d0x7675nae1ctsdupa0dw.png)
Explanation:
You have to find common denominators first. Multiply -5/6 by 4/4 to get -20/24. Multiply 1/8 by 3/3 to get 3/24.
![- (20)/(24) = z + (3)/(24)](https://img.qammunity.org/2022/formulas/mathematics/high-school/jtkhjo9hj8zlv1sfpo0ger5he6ybuoj9u9.png)
Subtract 3/24 from both sides since it is being added.
![- (20)/(24) = z + (3)/(24) \\ - (3)/(24) \: \: \: \: \: \: \: \: \: \: - (3)/(24)](https://img.qammunity.org/2022/formulas/mathematics/high-school/38uc9us9rvhb9h9m6imc6u5se7j6f575q7.png)
Since there are two negatives on the left, add the fractions together and keep the negative sign.
![- (23)/(24) = z](https://img.qammunity.org/2022/formulas/mathematics/high-school/f936sab76044yzq6uoc39ws5re2ju36q60.png)
You cannot reduce this fraction.