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Simplifying (4 + 6i) + -1(-1 + -4i) = 0 Remove parenthesis around (4 + 6i) 4 + 6i + -1(-1 + -4i) = 0 4 + 6i + (-1 * -1 + -4i * -1) = 0 4 + 6i + (1 + 4i) = 0 Reorder the terms: 4 + 1 + 6i + 4i = 0 Combine like terms: 4 + 1 = 5 5 + 6i + 4i = 0 Combine like terms: 6i + 4i = 10i 5 + 10i = 0 Solving 5 + 10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 10i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 10i = 0 + -5 10i = 0 + -5 Combine like terms: 0 + -5 = -5 10i = -5 Divide each side by '10'. i = -0.5 Simplifying i = -0.5
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