To simplify the expression [tex]\(-4(2p - 5q)\)[/tex], you need to distribute the [tex]\(-4\)[/tex] to both terms inside the parentheses.
Here are the steps:
1. Distribute [tex]\(-4\)[/tex] to [tex]\(2p\)[/tex]:
[tex]\[
-4 \times 2p = -8p
\][/tex]
2. Distribute [tex]\(-4\)[/tex] to [tex]\(-5q\)[/tex]:
[tex]\[
-4 \times (-5q) = +20q
\][/tex]
Combining these results, the simplified expression is:
[tex]\[
-8p + 20q
\][/tex]
Thus, the option that is equivalent to [tex]\(-4(2p - 5q)\)[/tex] is:
[tex]\[
\boxed{-8p + 20q}
\][/tex]
Out of the provided options, the correct answer is:
[tex]\[
-8p + 20q
\][/tex]
