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

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

Simplifying
(2 + -8i) + (2 + 6i) = 0

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

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

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

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

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

Solving
4 + -2i = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + -4 + -2i = 0 + -4

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

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

Divide each side by '-2'.
i = 2

Simplifying
i = 2