(-6-6i)+(3+4i)=

Solution for (-6-6i)+(3+4i)= equation:

Simplifying
(-6 + -6i) + (3 + 4i) = 0

Remove parenthesis around (-6 + -6i)
-6 + -6i + (3 + 4i) = 0

Remove parenthesis around (3 + 4i)
-6 + -6i + 3 + 4i = 0

Reorder the terms:
-6 + 3 + -6i + 4i = 0

Combine like terms: -6 + 3 = -3
-3 + -6i + 4i = 0

Combine like terms: -6i + 4i = -2i
-3 + -2i = 0

Solving
-3 + -2i = 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 + -2i = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2i = 0 + 3
-2i = 0 + 3

Combine like terms: 0 + 3 = 3
-2i = 3

Divide each side by '-2'.
i = -1.5

Simplifying
i = -1.5