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Simplifying (5 + 2i) + -1(3.9 + 12i) + (7.7 + -3.9i) = 0 Remove parenthesis around (5 + 2i) 5 + 2i + -1(3.9 + 12i) + (7.7 + -3.9i) = 0 5 + 2i + (3.9 * -1 + 12i * -1) + (7.7 + -3.9i) = 0 5 + 2i + (-3.9 + -12i) + (7.7 + -3.9i) = 0 Remove parenthesis around (7.7 + -3.9i) 5 + 2i + -3.9 + -12i + 7.7 + -3.9i = 0 Reorder the terms: 5 + -3.9 + 7.7 + 2i + -12i + -3.9i = 0 Combine like terms: 5 + -3.9 = 1.1 1.1 + 7.7 + 2i + -12i + -3.9i = 0 Combine like terms: 1.1 + 7.7 = 8.8 8.8 + 2i + -12i + -3.9i = 0 Combine like terms: 2i + -12i = -10i 8.8 + -10i + -3.9i = 0 Combine like terms: -10i + -3.9i = -13.9i 8.8 + -13.9i = 0 Solving 8.8 + -13.9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8.8' to each side of the equation. 8.8 + -8.8 + -13.9i = 0 + -8.8 Combine like terms: 8.8 + -8.8 = 0.0 0.0 + -13.9i = 0 + -8.8 -13.9i = 0 + -8.8 Combine like terms: 0 + -8.8 = -8.8 -13.9i = -8.8 Divide each side by '-13.9'. i = 0.6330935252 Simplifying i = 0.6330935252
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