(-5-8i)-8-(-7-2i)=0

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Solution for (-5-8i)-8-(-7-2i)=0 equation:


Simplifying
(-5 + -8i) + -8 + -1(-7 + -2i) = 0

Remove parenthesis around (-5 + -8i)
-5 + -8i + -8 + -1(-7 + -2i) = 0
-5 + -8i + -8 + (-7 * -1 + -2i * -1) = 0
-5 + -8i + -8 + (7 + 2i) = 0

Reorder the terms:
-5 + -8 + 7 + -8i + 2i = 0

Combine like terms: -5 + -8 = -13
-13 + 7 + -8i + 2i = 0

Combine like terms: -13 + 7 = -6
-6 + -8i + 2i = 0

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

Solving
-6 + -6i = 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 + -6i = 0 + 6

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

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

Divide each side by '-6'.
i = -1

Simplifying
i = -1

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