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Simplifying (5 + -3i) + -1(2 + 4i) = 0 Remove parenthesis around (5 + -3i) 5 + -3i + -1(2 + 4i) = 0 5 + -3i + (2 * -1 + 4i * -1) = 0 5 + -3i + (-2 + -4i) = 0 Reorder the terms: 5 + -2 + -3i + -4i = 0 Combine like terms: 5 + -2 = 3 3 + -3i + -4i = 0 Combine like terms: -3i + -4i = -7i 3 + -7i = 0 Solving 3 + -7i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -7i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7i = 0 + -3 -7i = 0 + -3 Combine like terms: 0 + -3 = -3 -7i = -3 Divide each side by '-7'. i = 0.4285714286 Simplifying i = 0.4285714286
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