(-5-8i)-(3-i)-(-2-8i)=

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Solution for (-5-8i)-(3-i)-(-2-8i)= equation:


Simplifying
(-5 + -8i) + -1(3 + -1i) + -1(-2 + -8i) = 0

Remove parenthesis around (-5 + -8i)
-5 + -8i + -1(3 + -1i) + -1(-2 + -8i) = 0
-5 + -8i + (3 * -1 + -1i * -1) + -1(-2 + -8i) = 0
-5 + -8i + (-3 + 1i) + -1(-2 + -8i) = 0
-5 + -8i + -3 + 1i + (-2 * -1 + -8i * -1) = 0
-5 + -8i + -3 + 1i + (2 + 8i) = 0

Reorder the terms:
-5 + -3 + 2 + -8i + 1i + 8i = 0

Combine like terms: -5 + -3 = -8
-8 + 2 + -8i + 1i + 8i = 0

Combine like terms: -8 + 2 = -6
-6 + -8i + 1i + 8i = 0

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

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

Solving
-6 + 1i = 0

Solving for variable 'i'.

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

Add '6' to each side of the equation.
-6 + 6 + 1i = 0 + 6

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

Combine like terms: 0 + 6 = 6
1i = 6

Divide each side by '1'.
i = 6

Simplifying
i = 6

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