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Simplifying -1(3 + -3i) + -5(4 + -2i) = 0 (3 * -1 + -3i * -1) + -5(4 + -2i) = 0 (-3 + 3i) + -5(4 + -2i) = 0 -3 + 3i + (4 * -5 + -2i * -5) = 0 -3 + 3i + (-20 + 10i) = 0 Reorder the terms: -3 + -20 + 3i + 10i = 0 Combine like terms: -3 + -20 = -23 -23 + 3i + 10i = 0 Combine like terms: 3i + 10i = 13i -23 + 13i = 0 Solving -23 + 13i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 13i = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 13i = 0 + 23 13i = 0 + 23 Combine like terms: 0 + 23 = 23 13i = 23 Divide each side by '13'. i = 1.769230769 Simplifying i = 1.769230769
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