To solve the expression [tex]\( 10 + [13 + (-12)] + (-14) \)[/tex], we will follow the order of operations, which tells us to perform calculations inside the brackets first.
1. Start with the expression inside the brackets:
[tex]\[
13 + (-12)
\][/tex]
When we add 13 and -12, we get:
[tex]\[
13 - 12 = 1
\][/tex]
2. Now substitute the result back into the original expression:
[tex]\[
10 + 1 + (-14)
\][/tex]
3. Next, perform the addition from left to right:
[tex]\[
10 + 1 = 11
\][/tex]
So the expression now simplifies to:
[tex]\[
11 + (-14)
\][/tex]
4. Finally, add 11 and -14:
[tex]\[
11 - 14 = -3
\][/tex]
Therefore, the result of the expression [tex]\( 10 + [13 + (-12)] + (-14) \)[/tex] is [tex]\(-3\)[/tex].
