Sure, let's solve the expression [tex]\((-3)\{(-6) + (20)\} \times (3) - (7 - 9)(-2)\)[/tex] step-by-step.
1. Evaluate inside the parentheses:
[tex]\[
(-6) + (20) = 14
\][/tex]
2. Next, multiply this result by [tex]\(-3\)[/tex] and 3:
[tex]\[
(-3) \times 14 \times 3
\][/tex]
Start by multiplying [tex]\(-3\)[/tex] by 14:
[tex]\[
-3 \times 14 = -42
\][/tex]
Then multiply [tex]\(-42\)[/tex] by 3:
[tex]\[
-42 \times 3 = -126
\][/tex]
3. Evaluate the second part of the expression:
[tex]\[
(7 - 9)
\][/tex]
[tex]\[
7 - 9 = -2
\][/tex]
4. Next, multiply the result by [tex]\(-2\)[/tex]:
[tex]\[
(-2) \times (-2) = 4
\][/tex]
5. Finally, subtract the second part from the first part:
[tex]\[
-126 - 4 = -130
\][/tex]
So, the value of [tex]\((-3)\{(-6) + (20)\} \times (3) - (7-9)(-2)\)[/tex] is [tex]\(-130\)[/tex].
Thus, the correct choice is (b) -130.
