To evaluate the expression [tex]\(6(-3) - |-5| + |3|\)[/tex], let's break it down step by step:
1. Evaluate [tex]\(6(-3)\)[/tex]:
[tex]\[
6 \times (-3) = -18
\][/tex]
2. Evaluate the absolute value [tex]\(-|-5|\)[/tex]:
[tex]\[
|-5| = 5
\][/tex]
3. Evaluate the absolute value [tex]\(|3|\)[/tex]:
[tex]\[
|3| = 3
\][/tex]
Now, substitute these evaluated parts back into the original expression:
[tex]\[
6(-3) - |-5| + |3| \rightarrow -18 - 5 + 3
\][/tex]
Next, perform the subtraction and addition in order:
4. Subtract 5 from -18:
[tex]\[
-18 - 5 = -23
\][/tex]
5. Add 3 to -23:
[tex]\[
-23 + 3 = -20
\][/tex]
Therefore, the final result of the expression [tex]\(6(-3) - |-5| + |3|\)[/tex] is:
[tex]\[
\boxed{-20}
\][/tex]
Thus, the correct answer is [tex]\(-20\)[/tex].
