#### Answer

$3\sqrt{7}-(4\sqrt{7}-i)-4i+(-2\sqrt{7}+5i)=-3\sqrt{7}+2i$

#### Work Step by Step

$3\sqrt{7}-(4\sqrt{7}-i)-4i+(-2\sqrt{7}+5i)$
Remove all grouping symbols:
$3\sqrt{7}-(4\sqrt{7}-i)-4i+(-2\sqrt{7}+5i)=...$
$...=3\sqrt{7}-4\sqrt{7}+i-4i-2\sqrt{7}+5i=...$
Combine like terms (real terms together and imaginary terms together):
$...=(3\sqrt{7}-4\sqrt{7}-2\sqrt{7})+(i-4i+5i)=...$
Evaluate the indicated operations and simplify:
$...=-3\sqrt{7}+2i$