Final answer:
To simplify the expression 9(m-9)-4(10m+2), distribute the terms and combine like terms to get -31m - 89.
Step-by-step explanation:
To rewrite the expression in simplest terms, we need to simplify each term separately and then combine them. Let's start with the first term, 9(m-9). Distribute the 9 to both m and -9 to get 9m - 81. Now let's simplify the second term, -4(10m+2). Distribute the -4 to both 10m and 2 to get -40m - 8. Now we can combine the two simplified terms to get 9m - 81 - 40m - 8. Combining like terms, we have -31m - 89. So the simplified expression is -31m - 89.