(7+5i)-(-9-11i)=

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Solution for (7+5i)-(-9-11i)= equation:


Simplifying
(7 + 5i) + -1(-9 + -11i) = 0

Remove parenthesis around (7 + 5i)
7 + 5i + -1(-9 + -11i) = 0
7 + 5i + (-9 * -1 + -11i * -1) = 0
7 + 5i + (9 + 11i) = 0

Reorder the terms:
7 + 9 + 5i + 11i = 0

Combine like terms: 7 + 9 = 16
16 + 5i + 11i = 0

Combine like terms: 5i + 11i = 16i
16 + 16i = 0

Solving
16 + 16i = 0

Solving for variable 'i'.

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

Add '-16' to each side of the equation.
16 + -16 + 16i = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 16i = 0 + -16
16i = 0 + -16

Combine like terms: 0 + -16 = -16
16i = -16

Divide each side by '16'.
i = -1

Simplifying
i = -1

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