(10-2i)+(-11-7i)=

Solution for (10-2i)+(-11-7i)= equation:

Simplifying
(10 + -2i) + (-11 + -7i) = 0

Remove parenthesis around (10 + -2i)
10 + -2i + (-11 + -7i) = 0

Remove parenthesis around (-11 + -7i)
10 + -2i + -11 + -7i = 0

Reorder the terms:
10 + -11 + -2i + -7i = 0

Combine like terms: 10 + -11 = -1
-1 + -2i + -7i = 0

Combine like terms: -2i + -7i = -9i
-1 + -9i = 0

Solving
-1 + -9i = 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 + -9i = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -9i = 0 + 1
-9i = 0 + 1

Combine like terms: 0 + 1 = 1
-9i = 1

Divide each side by '-9'.
i = -0.1111111111

Simplifying
i = -0.1111111111