(15-6i)+(2.8+5i)-(15.7-22.9i)=

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Solution for (15-6i)+(2.8+5i)-(15.7-22.9i)= equation: 


Simplifying
(15 + -6i) + (2.8 + 5i) + -1(15.7 + -22.9i) = 0

Remove parenthesis around (15 + -6i)
15 + -6i + (2.8 + 5i) + -1(15.7 + -22.9i) = 0

Remove parenthesis around (2.8 + 5i)
15 + -6i + 2.8 + 5i + -1(15.7 + -22.9i) = 0
15 + -6i + 2.8 + 5i + (15.7 * -1 + -22.9i * -1) = 0
15 + -6i + 2.8 + 5i + (-15.7 + 22.9i) = 0

Reorder the terms:
15 + 2.8 + -15.7 + -6i + 5i + 22.9i = 0

Combine like terms: 15 + 2.8 = 17.8
17.8 + -15.7 + -6i + 5i + 22.9i = 0

Combine like terms: 17.8 + -15.7 = 2.1
2.1 + -6i + 5i + 22.9i = 0

Combine like terms: -6i + 5i = -1i
2.1 + -1i + 22.9i = 0

Combine like terms: -1i + 22.9i = 21.9i
2.1 + 21.9i = 0

Solving
2.1 + 21.9i = 0

Solving for variable 'i'.

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

Add '-2.1' to each side of the equation.
2.1 + -2.1 + 21.9i = 0 + -2.1

Combine like terms: 2.1 + -2.1 = 0.0
0.0 + 21.9i = 0 + -2.1
21.9i = 0 + -2.1

Combine like terms: 0 + -2.1 = -2.1
21.9i = -2.1

Divide each side by '21.9'.
i = -0.09589041096

Simplifying
i = -0.09589041096

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