(7-5i)+(6+9i)=

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Solution for (7-5i)+(6+9i)= equation:


Simplifying
(7 + -5i) + (6 + 9i) = 0

Remove parenthesis around (7 + -5i)
7 + -5i + (6 + 9i) = 0

Remove parenthesis around (6 + 9i)
7 + -5i + 6 + 9i = 0

Reorder the terms:
7 + 6 + -5i + 9i = 0

Combine like terms: 7 + 6 = 13
13 + -5i + 9i = 0

Combine like terms: -5i + 9i = 4i
13 + 4i = 0

Solving
13 + 4i = 0

Solving for variable 'i'.

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

Add '-13' to each side of the equation.
13 + -13 + 4i = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 4i = 0 + -13
4i = 0 + -13

Combine like terms: 0 + -13 = -13
4i = -13

Divide each side by '4'.
i = -3.25

Simplifying
i = -3.25

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