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Simplifying (-3 + -1i) + -1(5 + -6i) = 0 Remove parenthesis around (-3 + -1i) -3 + -1i + -1(5 + -6i) = 0 -3 + -1i + (5 * -1 + -6i * -1) = 0 -3 + -1i + (-5 + 6i) = 0 Reorder the terms: -3 + -5 + -1i + 6i = 0 Combine like terms: -3 + -5 = -8 -8 + -1i + 6i = 0 Combine like terms: -1i + 6i = 5i -8 + 5i = 0 Solving -8 + 5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5i = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5i = 0 + 8 5i = 0 + 8 Combine like terms: 0 + 8 = 8 5i = 8 Divide each side by '5'. i = 1.6 Simplifying i = 1.6
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