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Simplifying 8i + -19i + 20 = -57 Reorder the terms: 20 + 8i + -19i = -57 Combine like terms: 8i + -19i = -11i 20 + -11i = -57 Solving 20 + -11i = -57 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -11i = -57 + -20 Combine like terms: 20 + -20 = 0 0 + -11i = -57 + -20 -11i = -57 + -20 Combine like terms: -57 + -20 = -77 -11i = -77 Divide each side by '-11'. i = 7 Simplifying i = 7
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