To simplify the expression \( 5(–5 + z) \), you need to distribute the 5 to both terms inside the parentheses:
\[ 5(–5) + 5(z) \]
Calculating each term:
\[ 5(–5) = -25 \] \[ 5(z) = 5z \]
Now, combine the results:
\[ 5(–5 + z) = -25 + 5z \]
Therefore, the simplified expression is:
\[ -25 + 5z \]