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Simplifying 28 + -5i = 3i + 20 Reorder the terms: 28 + -5i = 20 + 3i Solving 28 + -5i = 20 + 3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3i' to each side of the equation. 28 + -5i + -3i = 20 + 3i + -3i Combine like terms: -5i + -3i = -8i 28 + -8i = 20 + 3i + -3i Combine like terms: 3i + -3i = 0 28 + -8i = 20 + 0 28 + -8i = 20 Add '-28' to each side of the equation. 28 + -28 + -8i = 20 + -28 Combine like terms: 28 + -28 = 0 0 + -8i = 20 + -28 -8i = 20 + -28 Combine like terms: 20 + -28 = -8 -8i = -8 Divide each side by '-8'. i = 1 Simplifying i = 1
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