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8\sqrt{2}-9-\left(-2\sqrt{2}\right)-\left(-16\right)
To find the opposite of -2\sqrt{2}-16, find the opposite of each term.
8\sqrt{2}-9+2\sqrt{2}-\left(-16\right)
The opposite of -2\sqrt{2} is 2\sqrt{2}.
10\sqrt{2}-9-\left(-16\right)
Combine 8\sqrt{2} and 2\sqrt{2} to get 10\sqrt{2}.
10\sqrt{2}-9+16
The opposite of -16 is 16.
10\sqrt{2}+7
Add -9 and 16 to get 7.