(6+9i)-(8-7i)=

Solution for (6+9i)-(8-7i)= equation:

Simplifying
(6 + 9i) + -1(8 + -7i) = 0

Remove parenthesis around (6 + 9i)
6 + 9i + -1(8 + -7i) = 0
6 + 9i + (8 * -1 + -7i * -1) = 0
6 + 9i + (-8 + 7i) = 0

Reorder the terms:
6 + -8 + 9i + 7i = 0

Combine like terms: 6 + -8 = -2
-2 + 9i + 7i = 0

Combine like terms: 9i + 7i = 16i
-2 + 16i = 0

Solving
-2 + 16i = 0

Solving for variable 'i'.

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

Add '2' to each side of the equation.
-2 + 2 + 16i = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 16i = 0 + 2
16i = 0 + 2

Combine like terms: 0 + 2 = 2
16i = 2

Divide each side by '16'.
i = 0.125

Simplifying
i = 0.125