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Simplifying (17 + -6i) + (8 + 3i) = 0 Remove parenthesis around (17 + -6i) 17 + -6i + (8 + 3i) = 0 Remove parenthesis around (8 + 3i) 17 + -6i + 8 + 3i = 0 Reorder the terms: 17 + 8 + -6i + 3i = 0 Combine like terms: 17 + 8 = 25 25 + -6i + 3i = 0 Combine like terms: -6i + 3i = -3i 25 + -3i = 0 Solving 25 + -3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -3i = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -3i = 0 + -25 -3i = 0 + -25 Combine like terms: 0 + -25 = -25 -3i = -25 Divide each side by '-3'. i = 8.333333333 Simplifying i = 8.333333333
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