To solve the expression [tex]\(-1 - 3 - (-9) + (-5)\)[/tex], we need to follow these steps sequentially:
1. Evaluate the negation of a negative number: When you see a double negative, it turns to a positive. Therefore, [tex]\(- (-9)\)[/tex] becomes [tex]\(+9\)[/tex].
Now the expression becomes:
[tex]\[
-1 - 3 + 9 + (-5)
\][/tex]
2. Operate on the first two terms: Start by combining [tex]\(-1\)[/tex] and [tex]\(-3\)[/tex]. Subtracting 3 from -1:
[tex]\[
-1 - 3 = -4
\][/tex]
So the new expression is:
[tex]\[
-4 + 9 + (-5)
\][/tex]
3. Add the next term: Add [tex]\(9\)[/tex] to [tex]\(-4\)[/tex]:
[tex]\[
-4 + 9 = 5
\][/tex]
Thus, the expression now simplifies to:
[tex]\[
5 + (-5)
\][/tex]
4. Addition of the last term: Combine [tex]\(5\)[/tex] and [tex]\(-5\)[/tex]:
[tex]\[
5 + (-5) = 0
\][/tex]
So the final result of the expression [tex]\(-1 - 3 - (-9) + (-5)\)[/tex] is:
[tex]\[
\boxed{0}
\][/tex]
