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

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

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

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

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

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

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

Solving
-4 + -4i = 0

Solving for variable 'i'.

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

Add '4' to each side of the equation.
-4 + 4 + -4i = 0 + 4

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

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

Divide each side by '-4'.
i = -1

Simplifying
i = -1