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Simplifying 7i + 8i + 7 + 6 + 9i = -32 Reorder the terms: 7 + 6 + 7i + 8i + 9i = -32 Combine like terms: 7 + 6 = 13 13 + 7i + 8i + 9i = -32 Combine like terms: 7i + 8i = 15i 13 + 15i + 9i = -32 Combine like terms: 15i + 9i = 24i 13 + 24i = -32 Solving 13 + 24i = -32 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 24i = -32 + -13 Combine like terms: 13 + -13 = 0 0 + 24i = -32 + -13 24i = -32 + -13 Combine like terms: -32 + -13 = -45 24i = -45 Divide each side by '24'. i = -1.875 Simplifying i = -1.875
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