Final answer:
The simplified expression of Q -[R + S] - T using the given values results in 10m + 5n - 24, which corresponds to option d.
Step-by-step explanation:
To simplify Q -[R + S] - T, we must first resolve the expression inside the brackets and then subtract T from it.
Let's begin by substituting the given expressions:
- Q = 7m + 3n
- R = 11 - 2m
- S = n + 5
- T = -m - 3n + 8
Now, R + S becomes:
11 - 2m + n + 5 = 16 - 2m + n
Then, we subtract the result of R + S from Q:
Q - [R + S] becomes:
7m + 3n - (16 - 2m + n)
= 7m + 3n - 16 + 2m - n
= 9m + 2n - 16
Finally, we subtract T from the result:
9m + 2n - 16 - (-m - 3n + 8)
= 10m + 5n - 24
The simplified expression is 10m + 5n - 24, which corresponds to option d.