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Simplifying (-4 + 5i) + 2(1 + 3i) = 0 Remove parenthesis around (-4 + 5i) -4 + 5i + 2(1 + 3i) = 0 -4 + 5i + (1 * 2 + 3i * 2) = 0 -4 + 5i + (2 + 6i) = 0 Reorder the terms: -4 + 2 + 5i + 6i = 0 Combine like terms: -4 + 2 = -2 -2 + 5i + 6i = 0 Combine like terms: 5i + 6i = 11i -2 + 11i = 0 Solving -2 + 11i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 11i = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 11i = 0 + 2 11i = 0 + 2 Combine like terms: 0 + 2 = 2 11i = 2 Divide each side by '11'. i = 0.1818181818 Simplifying i = 0.1818181818
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