Let's evaluate the expression [tex]\(-4|5 + m|\)[/tex] for [tex]\(m = -3\)[/tex].
1. First, substitute the value of [tex]\(m\)[/tex] into the expression:
[tex]\[
5 + m = 5 + (-3) = 2
\][/tex]
2. Next, find the absolute value [tex]\(|5 + m|\)[/tex]:
[tex]\[
|5 + m| = |2| = 2
\][/tex]
3. Finally, multiply this absolute value by [tex]\(-4\)[/tex]:
[tex]\[
-4 \times 2 = -8
\][/tex]
Therefore, the value of the expression is [tex]\(-8\)[/tex].
