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Simplifying 20i + 10 = 110 + -5i Reorder the terms: 10 + 20i = 110 + -5i Solving 10 + 20i = 110 + -5i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5i' to each side of the equation. 10 + 20i + 5i = 110 + -5i + 5i Combine like terms: 20i + 5i = 25i 10 + 25i = 110 + -5i + 5i Combine like terms: -5i + 5i = 0 10 + 25i = 110 + 0 10 + 25i = 110 Add '-10' to each side of the equation. 10 + -10 + 25i = 110 + -10 Combine like terms: 10 + -10 = 0 0 + 25i = 110 + -10 25i = 110 + -10 Combine like terms: 110 + -10 = 100 25i = 100 Divide each side by '25'. i = 4 Simplifying i = 4
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