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Simplifying 9i + 15 = i + 20 Reorder the terms: 15 + 9i = i + 20 Reorder the terms: 15 + 9i = 20 + i Solving 15 + 9i = 20 + i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. 15 + 9i + -1i = 20 + i + -1i Combine like terms: 9i + -1i = 8i 15 + 8i = 20 + i + -1i Combine like terms: i + -1i = 0 15 + 8i = 20 + 0 15 + 8i = 20 Add '-15' to each side of the equation. 15 + -15 + 8i = 20 + -15 Combine like terms: 15 + -15 = 0 0 + 8i = 20 + -15 8i = 20 + -15 Combine like terms: 20 + -15 = 5 8i = 5 Divide each side by '8'. i = 0.625 Simplifying i = 0.625
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