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Simplifying 5(i + 3) + -9 = -17i Reorder the terms: 5(3 + i) + -9 = -17i (3 * 5 + i * 5) + -9 = -17i (15 + 5i) + -9 = -17i Reorder the terms: 15 + -9 + 5i = -17i Combine like terms: 15 + -9 = 6 6 + 5i = -17i Solving 6 + 5i = -17i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '17i' to each side of the equation. 6 + 5i + 17i = -17i + 17i Combine like terms: 5i + 17i = 22i 6 + 22i = -17i + 17i Combine like terms: -17i + 17i = 0 6 + 22i = 0 Add '-6' to each side of the equation. 6 + -6 + 22i = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 22i = 0 + -6 22i = 0 + -6 Combine like terms: 0 + -6 = -6 22i = -6 Divide each side by '22'. i = -0.2727272727 Simplifying i = -0.2727272727
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