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Simplifying 17 + 5i = 14 + 2i Solving 17 + 5i = 14 + 2i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2i' to each side of the equation. 17 + 5i + -2i = 14 + 2i + -2i Combine like terms: 5i + -2i = 3i 17 + 3i = 14 + 2i + -2i Combine like terms: 2i + -2i = 0 17 + 3i = 14 + 0 17 + 3i = 14 Add '-17' to each side of the equation. 17 + -17 + 3i = 14 + -17 Combine like terms: 17 + -17 = 0 0 + 3i = 14 + -17 3i = 14 + -17 Combine like terms: 14 + -17 = -3 3i = -3 Divide each side by '3'. i = -1 Simplifying i = -1
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