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Simplifying 21i + 42 = 154i + 231 Reorder the terms: 42 + 21i = 154i + 231 Reorder the terms: 42 + 21i = 231 + 154i Solving 42 + 21i = 231 + 154i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-154i' to each side of the equation. 42 + 21i + -154i = 231 + 154i + -154i Combine like terms: 21i + -154i = -133i 42 + -133i = 231 + 154i + -154i Combine like terms: 154i + -154i = 0 42 + -133i = 231 + 0 42 + -133i = 231 Add '-42' to each side of the equation. 42 + -42 + -133i = 231 + -42 Combine like terms: 42 + -42 = 0 0 + -133i = 231 + -42 -133i = 231 + -42 Combine like terms: 231 + -42 = 189 -133i = 189 Divide each side by '-133'. i = -1.421052632 Simplifying i = -1.421052632
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