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

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

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

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

Reorder the terms:
6 + -2 + -1I + 6i = 0

Combine like terms: 6 + -2 = 4
4 + -1I + 6i = 0

Solving
4 + -1I + 6i = 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 + -1I + -4 + 6i = 0 + -4

Reorder the terms:
4 + -4 + -1I + 6i = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1I + 6i = 0 + -4
-1I + 6i = 0 + -4

Combine like terms: 0 + -4 = -4
-1I + 6i = -4

Add '-6i' to each side of the equation.
-1I + 6i + -6i = -4 + -6i

Combine like terms: 6i + -6i = 0
-1I + 0 = -4 + -6i
-1I = -4 + -6i

Divide each side by '-1'.
I = 4 + 6i

Simplifying
I = 4 + 6i