#### Answer

$-i\sqrt{2}-2-(6-4i\sqrt{2})-(5-i\sqrt{2})=-13+4i\sqrt{2}$

#### Work Step by Step

$-i\sqrt{2}-2-(6-4i\sqrt{2})-(5-i\sqrt{2})$
Remove all grouping symbols:
$-i\sqrt{2}-2-(6-4i\sqrt{2})-(5-i\sqrt{2})=...$
$...=-i\sqrt{2}-2-6+4i\sqrt{2}-5+i\sqrt{2}=...$
Group like terms (real terms together and imaginary terms together):
$...=(-2-6-5)+(-i\sqrt{2}+4i\sqrt{2}+i\sqrt{2})=...$
Evaluate the indicated operations and simplify:
$...=-13+4i\sqrt{2}$