Sure, let's simplify the expression step by step.
We start with the expression [tex]\(-9 - 2[6 - 5(2)]\)[/tex].
First, simplify inside the innermost brackets:
[tex]\[6 - 5(2)\][/tex]
Calculate the multiplication inside the brackets:
[tex]\[5 \times 2 = 10\][/tex]
Now, substitute back into the expression:
[tex]\[6 - 10\][/tex]
Now perform the subtraction within the brackets:
[tex]\[6 - 10 = -4\][/tex]
So the expression now looks like:
[tex]\(-9 - 2(-4)\)[/tex]
Next, we perform the multiplication:
[tex]\[-2 \times -4 = 8\][/tex]
Now, substitute back into the main expression:
[tex]\(-9 + 8\)[/tex]
Finally, perform the subtraction (adding a positive value is the same as subtracting a negative one):
[tex]\[-9 + 8 = -1\][/tex]
So, the simplified expression is:
[tex]\[
-1
\][/tex]
