(6-3i)-(2-8i)+(-4+2i)=

Solution for (6-3i)-(2-8i)+(-4+2i)= equation:

Simplifying
(6 + -3i) + -1(2 + -8i) + (-4 + 2i) = 0

Remove parenthesis around (6 + -3i)
6 + -3i + -1(2 + -8i) + (-4 + 2i) = 0
6 + -3i + (2 * -1 + -8i * -1) + (-4 + 2i) = 0
6 + -3i + (-2 + 8i) + (-4 + 2i) = 0

Remove parenthesis around (-4 + 2i)
6 + -3i + -2 + 8i + -4 + 2i = 0

Reorder the terms:
6 + -2 + -4 + -3i + 8i + 2i = 0

Combine like terms: 6 + -2 = 4
4 + -4 + -3i + 8i + 2i = 0

Combine like terms: 4 + -4 = 0
0 + -3i + 8i + 2i = 0
-3i + 8i + 2i = 0

Combine like terms: -3i + 8i = 5i
5i + 2i = 0

Combine like terms: 5i + 2i = 7i
7i = 0

Solving
7i = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Divide each side by '7'.
i = 0

Simplifying
i = 0