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Simplifying 0.8i + 12 = 0.2i + 34 Reorder the terms: 12 + 0.8i = 0.2i + 34 Reorder the terms: 12 + 0.8i = 34 + 0.2i Solving 12 + 0.8i = 34 + 0.2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-0.2i' to each side of the equation. 12 + 0.8i + -0.2i = 34 + 0.2i + -0.2i Combine like terms: 0.8i + -0.2i = 0.6i 12 + 0.6i = 34 + 0.2i + -0.2i Combine like terms: 0.2i + -0.2i = 0.0 12 + 0.6i = 34 + 0.0 12 + 0.6i = 34 Add '-12' to each side of the equation. 12 + -12 + 0.6i = 34 + -12 Combine like terms: 12 + -12 = 0 0 + 0.6i = 34 + -12 0.6i = 34 + -12 Combine like terms: 34 + -12 = 22 0.6i = 22 Divide each side by '0.6'. i = 36.66666667 Simplifying i = 36.66666667
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