To simplify the expression [tex]$-|-19|$[/tex], we can proceed step-by-step as follows:
1. Compute the absolute value: First, find the absolute value of [tex]$-19$[/tex].
The absolute value of a number is its distance from zero on the number line, regardless of direction. Therefore, the absolute value of [tex]$-19$[/tex] is:
[tex]$ |-19| = 19 $[/tex]
2. Apply the negation: Next, negate the result from step 1.
Negating a number means changing its sign. In this case, we are negating [tex]$19$[/tex]:
[tex]$ -19 $[/tex]
Hence, the simplified expression for [tex]$-|-19|$[/tex] is:
[tex]$ -19 $[/tex]