Final answer:
The correct answer to the simplified expression −9z − (−77) assuming z equals 1 is Option C. 68, which corresponds to option D. However, there may be a typo in the original question, and clarification would be needed for a precise solution.
Step-by-step explanation:
The correct answer is option C, which is −22. To simplify the expression −9z − (−77), you have to recognize that subtracting a negative is the same as adding a positive. Therefore, the expression becomes −9z + 77. Without knowing the value of z, we cannot simplify the expression further in terms of z.
To simplify (-9z)-(-77), we can rewrite the expression as -9z + 77. Then, we can combine like terms by adding the coefficients of z. Since there is no other term with a z, the expression simplifies to -9z + 77. Therefore, the answer is -22z + 77.
Yet, the student's question seems to involve a typo since the options provided do not correspond to this result. If we consider the possibility that z equals 1, then we would have −9(1) + 77, which simplifies to −9 + 77, equals 68. But the provided options suggest that a numerical value for z might be missing. The best course of action is to confirm the correct form of the question for an accurate solution.