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Simplifying 10i + 3 = 20 + -1i + 82 Reorder the terms: 3 + 10i = 20 + -1i + 82 Reorder the terms: 3 + 10i = 20 + 82 + -1i Combine like terms: 20 + 82 = 102 3 + 10i = 102 + -1i Solving 3 + 10i = 102 + -1i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add 'i' to each side of the equation. 3 + 10i + i = 102 + -1i + i Combine like terms: 10i + i = 11i 3 + 11i = 102 + -1i + i Combine like terms: -1i + i = 0 3 + 11i = 102 + 0 3 + 11i = 102 Add '-3' to each side of the equation. 3 + -3 + 11i = 102 + -3 Combine like terms: 3 + -3 = 0 0 + 11i = 102 + -3 11i = 102 + -3 Combine like terms: 102 + -3 = 99 11i = 99 Divide each side by '11'. i = 9 Simplifying i = 9
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