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Simplifying (8 + -7i) + (9 + 6i) = 0 Remove parenthesis around (8 + -7i) 8 + -7i + (9 + 6i) = 0 Remove parenthesis around (9 + 6i) 8 + -7i + 9 + 6i = 0 Reorder the terms: 8 + 9 + -7i + 6i = 0 Combine like terms: 8 + 9 = 17 17 + -7i + 6i = 0 Combine like terms: -7i + 6i = -1i 17 + -1i = 0 Solving 17 + -1i = 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 + -1i = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1i = 0 + -17 -1i = 0 + -17 Combine like terms: 0 + -17 = -17 -1i = -17 Divide each side by '-1'. i = 17 Simplifying i = 17
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