(-1-i)-(-1+6i)+(6+4i)=

Solution for (-1-i)-(-1+6i)+(6+4i)= equation:

Simplifying
(-1 + -1i) + -1(-1 + 6i) + (6 + 4i) = 0

Remove parenthesis around (-1 + -1i)
-1 + -1i + -1(-1 + 6i) + (6 + 4i) = 0
-1 + -1i + (-1 * -1 + 6i * -1) + (6 + 4i) = 0
-1 + -1i + (1 + -6i) + (6 + 4i) = 0

Remove parenthesis around (6 + 4i)
-1 + -1i + 1 + -6i + 6 + 4i = 0

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

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

Combine like terms: -1i + -6i = -7i
6 + -7i + 4i = 0

Combine like terms: -7i + 4i = -3i
6 + -3i = 0

Solving
6 + -3i = 0

Solving for variable 'i'.

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

Add '-6' to each side of the equation.
6 + -6 + -3i = 0 + -6

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

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

Divide each side by '-3'.
i = 2

Simplifying
i = 2