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Simplifying 4(2i + 3) = 36 Reorder the terms: 4(3 + 2i) = 36 (3 * 4 + 2i * 4) = 36 (12 + 8i) = 36 Solving 12 + 8i = 36 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8i = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 8i = 36 + -12 8i = 36 + -12 Combine like terms: 36 + -12 = 24 8i = 24 Divide each side by '8'. i = 3 Simplifying i = 3
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