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Simplifying 9(i + 2) = 3i + -6 Reorder the terms: 9(2 + i) = 3i + -6 (2 * 9 + i * 9) = 3i + -6 (18 + 9i) = 3i + -6 Reorder the terms: 18 + 9i = -6 + 3i Solving 18 + 9i = -6 + 3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3i' to each side of the equation. 18 + 9i + -3i = -6 + 3i + -3i Combine like terms: 9i + -3i = 6i 18 + 6i = -6 + 3i + -3i Combine like terms: 3i + -3i = 0 18 + 6i = -6 + 0 18 + 6i = -6 Add '-18' to each side of the equation. 18 + -18 + 6i = -6 + -18 Combine like terms: 18 + -18 = 0 0 + 6i = -6 + -18 6i = -6 + -18 Combine like terms: -6 + -18 = -24 6i = -24 Divide each side by '6'. i = -4 Simplifying i = -4
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