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Simplifying 5(i + 2) + -9 = -17 + -1 Reorder the terms: 5(2 + i) + -9 = -17 + -1 (2 * 5 + i * 5) + -9 = -17 + -1 (10 + 5i) + -9 = -17 + -1 Reorder the terms: 10 + -9 + 5i = -17 + -1 Combine like terms: 10 + -9 = 1 1 + 5i = -17 + -1 Combine like terms: -17 + -1 = -18 1 + 5i = -18 Solving 1 + 5i = -18 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5i = -18 + -1 Combine like terms: 1 + -1 = 0 0 + 5i = -18 + -1 5i = -18 + -1 Combine like terms: -18 + -1 = -19 5i = -19 Divide each side by '5'. i = -3.8 Simplifying i = -3.8
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