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

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

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

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

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

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

Combine like terms: 8i + 8i = 16i
-3 + 16i = 0

Solving
-3 + 16i = 0

Solving for variable 'i'.

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

Add '3' to each side of the equation.
-3 + 3 + 16i = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 16i = 0 + 3
16i = 0 + 3

Combine like terms: 0 + 3 = 3
16i = 3

Divide each side by '16'.
i = 0.1875

Simplifying
i = 0.1875