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Simplifying (7 + 3i) + -1(2 + -4i) = 0 Remove parenthesis around (7 + 3i) 7 + 3i + -1(2 + -4i) = 0 7 + 3i + (2 * -1 + -4i * -1) = 0 7 + 3i + (-2 + 4i) = 0 Reorder the terms: 7 + -2 + 3i + 4i = 0 Combine like terms: 7 + -2 = 5 5 + 3i + 4i = 0 Combine like terms: 3i + 4i = 7i 5 + 7i = 0 Solving 5 + 7i = 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 + 7i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7i = 0 + -5 7i = 0 + -5 Combine like terms: 0 + -5 = -5 7i = -5 Divide each side by '7'. i = -0.7142857143 Simplifying i = -0.7142857143
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