(10+2i)-(-13-4i)=

Solution for (10+2i)-(-13-4i)= equation:

Simplifying
(10 + 2i) + -1(-13 + -4i) = 0

Remove parenthesis around (10 + 2i)
10 + 2i + -1(-13 + -4i) = 0
10 + 2i + (-13 * -1 + -4i * -1) = 0
10 + 2i + (13 + 4i) = 0

Reorder the terms:
10 + 13 + 2i + 4i = 0

Combine like terms: 10 + 13 = 23
23 + 2i + 4i = 0

Combine like terms: 2i + 4i = 6i
23 + 6i = 0

Solving
23 + 6i = 0

Solving for variable 'i'.

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

Add '-23' to each side of the equation.
23 + -23 + 6i = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 6i = 0 + -23
6i = 0 + -23

Combine like terms: 0 + -23 = -23
6i = -23

Divide each side by '6'.
i = -3.833333333

Simplifying
i = -3.833333333