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Simplifying 9i + -17 = 6i Reorder the terms: -17 + 9i = 6i Solving -17 + 9i = 6i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6i' to each side of the equation. -17 + 9i + -6i = 6i + -6i Combine like terms: 9i + -6i = 3i -17 + 3i = 6i + -6i Combine like terms: 6i + -6i = 0 -17 + 3i = 0 Add '17' to each side of the equation. -17 + 17 + 3i = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 3i = 0 + 17 3i = 0 + 17 Combine like terms: 0 + 17 = 17 3i = 17 Divide each side by '3'. i = 5.666666667 Simplifying i = 5.666666667
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