(10+3i)-(8-16i)-(-9+13i)=

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Solution for (10+3i)-(8-16i)-(-9+13i)= equation:


Simplifying
(10 + 3i) + -1(8 + -16i) + -1(-9 + 13i) = 0

Remove parenthesis around (10 + 3i)
10 + 3i + -1(8 + -16i) + -1(-9 + 13i) = 0
10 + 3i + (8 * -1 + -16i * -1) + -1(-9 + 13i) = 0
10 + 3i + (-8 + 16i) + -1(-9 + 13i) = 0
10 + 3i + -8 + 16i + (-9 * -1 + 13i * -1) = 0
10 + 3i + -8 + 16i + (9 + -13i) = 0

Reorder the terms:
10 + -8 + 9 + 3i + 16i + -13i = 0

Combine like terms: 10 + -8 = 2
2 + 9 + 3i + 16i + -13i = 0

Combine like terms: 2 + 9 = 11
11 + 3i + 16i + -13i = 0

Combine like terms: 3i + 16i = 19i
11 + 19i + -13i = 0

Combine like terms: 19i + -13i = 6i
11 + 6i = 0

Solving
11 + 6i = 0

Solving for variable 'i'.

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

Add '-11' to each side of the equation.
11 + -11 + 6i = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 6i = 0 + -11
6i = 0 + -11

Combine like terms: 0 + -11 = -11
6i = -11

Divide each side by '6'.
i = -1.833333333

Simplifying
i = -1.833333333

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