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Simplifying (15 + -3i) + -1(4 + -12i) = 0 Remove parenthesis around (15 + -3i) 15 + -3i + -1(4 + -12i) = 0 15 + -3i + (4 * -1 + -12i * -1) = 0 15 + -3i + (-4 + 12i) = 0 Reorder the terms: 15 + -4 + -3i + 12i = 0 Combine like terms: 15 + -4 = 11 11 + -3i + 12i = 0 Combine like terms: -3i + 12i = 9i 11 + 9i = 0 Solving 11 + 9i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 9i = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 9i = 0 + -11 9i = 0 + -11 Combine like terms: 0 + -11 = -11 9i = -11 Divide each side by '9'. i = -1.222222222 Simplifying i = -1.222222222
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