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Simplifying 5(i + 3) + -9 = -17 + -1i Reorder the terms: 5(3 + i) + -9 = -17 + -1i (3 * 5 + i * 5) + -9 = -17 + -1i (15 + 5i) + -9 = -17 + -1i Reorder the terms: 15 + -9 + 5i = -17 + -1i Combine like terms: 15 + -9 = 6 6 + 5i = -17 + -1i Solving 6 + 5i = -17 + -1i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i' to each side of the equation. 6 + 5i + i = -17 + -1i + i Combine like terms: 5i + i = 6i 6 + 6i = -17 + -1i + i Combine like terms: -1i + i = 0 6 + 6i = -17 + 0 6 + 6i = -17 Add '-6' to each side of the equation. 6 + -6 + 6i = -17 + -6 Combine like terms: 6 + -6 = 0 0 + 6i = -17 + -6 6i = -17 + -6 Combine like terms: -17 + -6 = -23 6i = -23 Divide each side by '6'. i = -3.833333333 Simplifying i = -3.833333333
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