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Simplifying 9i + 3 = 18 + -6 Reorder the terms: 3 + 9i = 18 + -6 Combine like terms: 18 + -6 = 12 3 + 9i = 12 Solving 3 + 9i = 12 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 9i = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 9i = 12 + -3 9i = 12 + -3 Combine like terms: 12 + -3 = 9 9i = 9 Divide each side by '9'. i = 1 Simplifying i = 1
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