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Simplifying 20 + 34 = 27 + i Combine like terms: 20 + 34 = 54 54 = 27 + i Solving 54 = 27 + 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. 54 + -1i = 27 + i + -1i Combine like terms: i + -1i = 0 54 + -1i = 27 + 0 54 + -1i = 27 Add '-54' to each side of the equation. 54 + -54 + -1i = 27 + -54 Combine like terms: 54 + -54 = 0 0 + -1i = 27 + -54 -1i = 27 + -54 Combine like terms: 27 + -54 = -27 -1i = -27 Divide each side by '-1'. i = 27 Simplifying i = 27
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