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Simplifying (7 + 5i) + (7 + -8i) = 0 Remove parenthesis around (7 + 5i) 7 + 5i + (7 + -8i) = 0 Remove parenthesis around (7 + -8i) 7 + 5i + 7 + -8i = 0 Reorder the terms: 7 + 7 + 5i + -8i = 0 Combine like terms: 7 + 7 = 14 14 + 5i + -8i = 0 Combine like terms: 5i + -8i = -3i 14 + -3i = 0 Solving 14 + -3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -3i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -3i = 0 + -14 -3i = 0 + -14 Combine like terms: 0 + -14 = -14 -3i = -14 Divide each side by '-3'. i = 4.666666667 Simplifying i = 4.666666667
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