$7w^2 - 24w - 6$
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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