6-(-1+8i)-(-7-i)=

Solution for 6-(-1+8i)-(-7-i)= equation:

Simplifying
6 + -1(-1 + 8i) + -1(-7 + -1i) = 0
6 + (-1 * -1 + 8i * -1) + -1(-7 + -1i) = 0
6 + (1 + -8i) + -1(-7 + -1i) = 0
6 + 1 + -8i + (-7 * -1 + -1i * -1) = 0
6 + 1 + -8i + (7 + 1i) = 0

Reorder the terms:
6 + 1 + 7 + -8i + 1i = 0

Combine like terms: 6 + 1 = 7
7 + 7 + -8i + 1i = 0

Combine like terms: 7 + 7 = 14
14 + -8i + 1i = 0

Combine like terms: -8i + 1i = -7i
14 + -7i = 0

Solving
14 + -7i = 0

Solving for variable 'i'.

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

Add '-14' to each side of the equation.
14 + -14 + -7i = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -7i = 0 + -14
-7i = 0 + -14

Combine like terms: 0 + -14 = -14
-7i = -14

Divide each side by '-7'.
i = 2

Simplifying
i = 2