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Simplifying (-5 + 2i) + -1(-4 + -3i) = 0 Remove parenthesis around (-5 + 2i) -5 + 2i + -1(-4 + -3i) = 0 -5 + 2i + (-4 * -1 + -3i * -1) = 0 -5 + 2i + (4 + 3i) = 0 Reorder the terms: -5 + 4 + 2i + 3i = 0 Combine like terms: -5 + 4 = -1 -1 + 2i + 3i = 0 Combine like terms: 2i + 3i = 5i -1 + 5i = 0 Solving -1 + 5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5i = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5i = 0 + 1 5i = 0 + 1 Combine like terms: 0 + 1 = 1 5i = 1 Divide each side by '5'. i = 0.2 Simplifying i = 0.2
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