Let's solve the expression step by step.
1. Start by simplifying inside the parentheses:
[tex]\[-5 + (-4)\][/tex]
Adding [tex]\(-5\)[/tex] and [tex]\(-4\)[/tex] gives:
[tex]\[-9\][/tex]
2. Next, simplify the other part inside the parentheses:
[tex]\[-9 + (-2)\][/tex]
Adding [tex]\(-9\)[/tex] and [tex]\(-2\)[/tex] gives:
[tex]\[-11\][/tex]
3. Now, add the results of both simplified terms:
[tex]\[-9 + (-11)\][/tex]
Adding [tex]\(-9\)[/tex] and [tex]\(-11\)[/tex] gives:
[tex]\[-20\][/tex]
So, the full step-by-step solution is as follows:
[tex]\[
(-5 + (-4)) + (-9 + (-2)) = -9 + (-11) = -20
\][/tex]
Therefore, the final result is:
[tex]\[
-20
\][/tex]
