(7-8i)-(6+2i)=

Solution for (7-8i)-(6+2i)= equation:

Simplifying
(7 + -8i) + -1(6 + 2i) = 0

Remove parenthesis around (7 + -8i)
7 + -8i + -1(6 + 2i) = 0
7 + -8i + (6 * -1 + 2i * -1) = 0
7 + -8i + (-6 + -2i) = 0

Reorder the terms:
7 + -6 + -8i + -2i = 0

Combine like terms: 7 + -6 = 1
1 + -8i + -2i = 0

Combine like terms: -8i + -2i = -10i
1 + -10i = 0

Solving
1 + -10i = 0

Solving for variable 'i'.

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

Add '-1' to each side of the equation.
1 + -1 + -10i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -10i = 0 + -1
-10i = 0 + -1

Combine like terms: 0 + -1 = -1
-10i = -1

Divide each side by '-10'.
i = 0.1

Simplifying
i = 0.1