Certainly! Let's follow the order of operations to evaluate the expression [tex]\(-7.6 - 2[9 + (-6.8)]\)[/tex].
1. Simplify the parentheses:
Inside the brackets, add [tex]\(9\)[/tex] and [tex]\(-6.8\)[/tex]:
[tex]\[
9 + (-6.8) = 2.2
\][/tex]
So the expression becomes:
[tex]\[
-7.6 - 2(2.2)
\][/tex]
2. Handle multiplication next:
Multiply [tex]\(2\)[/tex] by [tex]\(2.2\)[/tex]:
[tex]\[
2 \times 2.2 = 4.4
\][/tex]
Now the expression is simplified to:
[tex]\[
-7.6 - 4.4
\][/tex]
3. Perform the subtraction:
Finally, subtract [tex]\(4.4\)[/tex] from [tex]\(-7.6\)[/tex]:
[tex]\[
-7.6 - 4.4 = -12.0
\][/tex]
Hence, the final answer is:
[tex]\[
-12.0
\][/tex]
