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Simplifying (10 + -8i) + (7 + 3i) = 0 Remove parenthesis around (10 + -8i) 10 + -8i + (7 + 3i) = 0 Remove parenthesis around (7 + 3i) 10 + -8i + 7 + 3i = 0 Reorder the terms: 10 + 7 + -8i + 3i = 0 Combine like terms: 10 + 7 = 17 17 + -8i + 3i = 0 Combine like terms: -8i + 3i = -5i 17 + -5i = 0 Solving 17 + -5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -5i = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -5i = 0 + -17 -5i = 0 + -17 Combine like terms: 0 + -17 = -17 -5i = -17 Divide each side by '-5'. i = 3.4 Simplifying i = 3.4
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