To simplify the expression [tex]\(13 + (-12) - (-5)\)[/tex], we will proceed step by step:
1. First, focus on simplifying inside the parentheses. The negative of a negative number turns into a positive number:
[tex]\[
-(-5) = +5
\][/tex]
2. The expression now looks like:
[tex]\[
13 + (-12) + 5
\][/tex]
3. Next, we perform the addition and subtraction from left to right:
[tex]\[
13 + (-12)
\][/tex]
Simplifying this part:
[tex]\[
13 - 12 = 1
\][/tex]
4. Now we add the remaining term:
[tex]\[
1 + 5 = 6
\][/tex]
After performing all these steps, the simplified value of the expression [tex]\(13 + (-12) - (-5)\)[/tex] is:
[tex]\[
6
\][/tex]
Thus, the correct answer is:
C. 6
