(10-7i)+(6+9i)=

Solution for (10-7i)+(6+9i)= equation:

Simplifying
(10 + -7i) + (6 + 9i) = 0

Remove parenthesis around (10 + -7i)
10 + -7i + (6 + 9i) = 0

Remove parenthesis around (6 + 9i)
10 + -7i + 6 + 9i = 0

Reorder the terms:
10 + 6 + -7i + 9i = 0

Combine like terms: 10 + 6 = 16
16 + -7i + 9i = 0

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

Solving
16 + 2i = 0

Solving for variable 'i'.

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

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

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

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

Divide each side by '2'.
i = -8

Simplifying
i = -8