Answer
$7w^2 - 24w - 6$
Work Step by Step
We simplify by removing the parentheses and then add the like terms as follows:
$$
(20w^2 - 17w - 6) - (13w^2 + 7w)\\
=20w^2 - 17w - 6 - 13w^2 - 7w\\
=7w^2 - 24w - 6
.$$
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