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Simplifying 3(2i + 10) = 78 Reorder the terms: 3(10 + 2i) = 78 (10 * 3 + 2i * 3) = 78 (30 + 6i) = 78 Solving 30 + 6i = 78 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 6i = 78 + -30 Combine like terms: 30 + -30 = 0 0 + 6i = 78 + -30 6i = 78 + -30 Combine like terms: 78 + -30 = 48 6i = 48 Divide each side by '6'. i = 8 Simplifying i = 8
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