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Simplifying (-6 + 5i) + -1(9 + -5i) = 0 Remove parenthesis around (-6 + 5i) -6 + 5i + -1(9 + -5i) = 0 -6 + 5i + (9 * -1 + -5i * -1) = 0 -6 + 5i + (-9 + 5i) = 0 Reorder the terms: -6 + -9 + 5i + 5i = 0 Combine like terms: -6 + -9 = -15 -15 + 5i + 5i = 0 Combine like terms: 5i + 5i = 10i -15 + 10i = 0 Solving -15 + 10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 10i = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 10i = 0 + 15 10i = 0 + 15 Combine like terms: 0 + 15 = 15 10i = 15 Divide each side by '10'. i = 1.5 Simplifying i = 1.5
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