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Simplifying 8i + 108 = 2i + 306 Reorder the terms: 108 + 8i = 2i + 306 Reorder the terms: 108 + 8i = 306 + 2i Solving 108 + 8i = 306 + 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. 108 + 8i + -2i = 306 + 2i + -2i Combine like terms: 8i + -2i = 6i 108 + 6i = 306 + 2i + -2i Combine like terms: 2i + -2i = 0 108 + 6i = 306 + 0 108 + 6i = 306 Add '-108' to each side of the equation. 108 + -108 + 6i = 306 + -108 Combine like terms: 108 + -108 = 0 0 + 6i = 306 + -108 6i = 306 + -108 Combine like terms: 306 + -108 = 198 6i = 198 Divide each side by '6'. i = 33 Simplifying i = 33
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