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

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

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

Remove parenthesis around (6 + 7i)
6 + 7i + (8 + -1i) = 0

Remove parenthesis around (8 + -1i)
6 + 7i + 8 + -1i = 0

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

Combine like terms: 6 + 8 = 14
14 + 7i + -1i = 0

Combine like terms: 7i + -1i = 6i
14 + 6i = 0

Solving
14 + 6i = 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 + 6i = 0 + -14

Combine like terms: 14 + -14 = 0
0 + 6i = 0 + -14
6i = 0 + -14

Combine like terms: 0 + -14 = -14
6i = -14

Divide each side by '6'.
i = -2.333333333

Simplifying
i = -2.333333333