Answer:
The simplified expression is 6w - 15.
To simplify the expression -3(w + 3) + 3(3w - 2), you can distribute the constants -3 and 3 to the terms inside the parentheses and then combine like terms:
-3(w + 3) + 3(3w - 2)
Distribute -3 to the terms inside the first set of parentheses:

-3w - 9
Distribute 3 to the terms inside the second set of parentheses:

9w - 6
-3w + 9w - 9 - 6
Now, you can combine like terms by adding -3w and 9w:
-3w + 9w = 6w
Similarly, combine the constants -9 and -6:
-9 - 6 = -15
So, the simplified expression is 6w - 15.