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Simplifying (-5 + -10i) + (2 + -6i) = 0 Remove parenthesis around (-5 + -10i) -5 + -10i + (2 + -6i) = 0 Remove parenthesis around (2 + -6i) -5 + -10i + 2 + -6i = 0 Reorder the terms: -5 + 2 + -10i + -6i = 0 Combine like terms: -5 + 2 = -3 -3 + -10i + -6i = 0 Combine like terms: -10i + -6i = -16i -3 + -16i = 0 Solving -3 + -16i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -16i = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -16i = 0 + 3 -16i = 0 + 3 Combine like terms: 0 + 3 = 3 -16i = 3 Divide each side by '-16'. i = -0.1875 Simplifying i = -0.1875
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