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Simplifying (7 * 2.82i) + (28 * 2.82i) + 56 = 0 Multiply 7 * 2.82 (19.74i) + (28 * 2.82i) + 56 = 0 Multiply 28 * 2.82 (19.74i) + (78.96i) + 56 = 0 Reorder the terms: 56 + (19.74i) + (78.96i) = 0 Combine like terms: (19.74i) + (78.96i) = 98.7i 56 + 98.7i = 0 Solving 56 + 98.7i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 98.7i = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 98.7i = 0 + -56 98.7i = 0 + -56 Combine like terms: 0 + -56 = -56 98.7i = -56 Divide each side by '98.7'. i = -0.5673758865 Simplifying i = -0.5673758865
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