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Simplifying 5 + i * 3 = 2i + 18 Reorder the terms for easier multiplication: 5 + 3i = 2i + 18 Reorder the terms: 5 + 3i = 18 + 2i Solving 5 + 3i = 18 + 2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2i' to each side of the equation. 5 + 3i + -2i = 18 + 2i + -2i Combine like terms: 3i + -2i = 1i 5 + 1i = 18 + 2i + -2i Combine like terms: 2i + -2i = 0 5 + 1i = 18 + 0 5 + 1i = 18 Add '-5' to each side of the equation. 5 + -5 + 1i = 18 + -5 Combine like terms: 5 + -5 = 0 0 + 1i = 18 + -5 1i = 18 + -5 Combine like terms: 18 + -5 = 13 1i = 13 Divide each side by '1'. i = 13 Simplifying i = 13
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