To solve the expression [tex]\(3(-9) + 6|-6|\)[/tex], we'll break it down into a series of steps:
1. Calculate [tex]\(3(-9)\)[/tex]:
- [tex]\(3 \cdot (-9) = -27\)[/tex]
2. Find the absolute value of [tex]\(-6\)[/tex]:
- [tex]\(|-6| = 6\)[/tex]
3. Calculate [tex]\(6 \cdot | -6 |\)[/tex] (which becomes [tex]\(6 \cdot 6\)[/tex] since the absolute value of [tex]\(-6\)[/tex] is [tex]\(6\)[/tex]):
- [tex]\(6 \cdot 6 = 36\)[/tex]
4. Sum the results of the two calculations:
- The first term is [tex]\(-27\)[/tex]
- The second term is [tex]\(36\)[/tex]
- Adding these together: [tex]\(-27 + 36 = 9\)[/tex]
So, the value of [tex]\(3(-9) + 6|-6|\)[/tex] is [tex]\(9\)[/tex].
Therefore, the best answer is:
C. 9
