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Simplifying (-4 + -1i) + -1(4 + 5i) = 0 Remove parenthesis around (-4 + -1i) -4 + -1i + -1(4 + 5i) = 0 -4 + -1i + (4 * -1 + 5i * -1) = 0 -4 + -1i + (-4 + -5i) = 0 Reorder the terms: -4 + -4 + -1i + -5i = 0 Combine like terms: -4 + -4 = -8 -8 + -1i + -5i = 0 Combine like terms: -1i + -5i = -6i -8 + -6i = 0 Solving -8 + -6i = 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 + -6i = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -6i = 0 + 8 -6i = 0 + 8 Combine like terms: 0 + 8 = 8 -6i = 8 Divide each side by '-6'. i = -1.333333333 Simplifying i = -1.333333333
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