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Simplifying 5(i + 3) + -9 = -17 + -1 Reorder the terms: 5(3 + i) + -9 = -17 + -1 (3 * 5 + i * 5) + -9 = -17 + -1 (15 + 5i) + -9 = -17 + -1 Reorder the terms: 15 + -9 + 5i = -17 + -1 Combine like terms: 15 + -9 = 6 6 + 5i = -17 + -1 Combine like terms: -17 + -1 = -18 6 + 5i = -18 Solving 6 + 5i = -18 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5i = -18 + -6 Combine like terms: 6 + -6 = 0 0 + 5i = -18 + -6 5i = -18 + -6 Combine like terms: -18 + -6 = -24 5i = -24 Divide each side by '5'. i = -4.8 Simplifying i = -4.8
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