To evaluate the expression \( -4|5 + m| \) for \( m = -3 \), follow these steps:
1. Substitute \( m = -3 \) into the expression:
[tex]\[
-4|5 + (-3)|
\][/tex]
2. Simplify inside the absolute value:
[tex]\[
5 + (-3) = 5 - 3 = 2
\][/tex]
3. Find the absolute value of 2:
[tex]\[
|2| = 2
\][/tex]
4. Multiply by -4:
[tex]\[
-4 \times 2 = -8
\][/tex]
Therefore, the value of the expression is [tex]\( -8 \)[/tex].