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Simplifying 3(i + 6) = 30 Reorder the terms: 3(6 + i) = 30 (6 * 3 + i * 3) = 30 (18 + 3i) = 30 Solving 18 + 3i = 30 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 3i = 30 + -18 Combine like terms: 18 + -18 = 0 0 + 3i = 30 + -18 3i = 30 + -18 Combine like terms: 30 + -18 = 12 3i = 12 Divide each side by '3'. i = 4 Simplifying i = 4
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