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Simplifying -1(-4 + 3i) + (5 + i) = 0 (-4 * -1 + 3i * -1) + (5 + i) = 0 (4 + -3i) + (5 + i) = 0 Remove parenthesis around (5 + i) 4 + -3i + 5 + i = 0 Reorder the terms: 4 + 5 + -3i + i = 0 Combine like terms: 4 + 5 = 9 9 + -3i + i = 0 Combine like terms: -3i + i = -2i 9 + -2i = 0 Solving 9 + -2i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2i = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2i = 0 + -9 -2i = 0 + -9 Combine like terms: 0 + -9 = -9 -2i = -9 Divide each side by '-2'. i = 4.5 Simplifying i = 4.5
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