(6-3i)-(7+6i)=

Solution for (6-3i)-(7+6i)= equation:

Simplifying
(6 + -3i) + -1(7 + 6i) = 0

Remove parenthesis around (6 + -3i)
6 + -3i + -1(7 + 6i) = 0
6 + -3i + (7 * -1 + 6i * -1) = 0
6 + -3i + (-7 + -6i) = 0

Reorder the terms:
6 + -7 + -3i + -6i = 0

Combine like terms: 6 + -7 = -1
-1 + -3i + -6i = 0

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