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Simplifying (9 + 8i) + -1(-7 + i) = 0 Remove parenthesis around (9 + 8i) 9 + 8i + -1(-7 + i) = 0 9 + 8i + (-7 * -1 + i * -1) = 0 9 + 8i + (7 + -1i) = 0 Reorder the terms: 9 + 7 + 8i + -1i = 0 Combine like terms: 9 + 7 = 16 16 + 8i + -1i = 0 Combine like terms: 8i + -1i = 7i 16 + 7i = 0 Solving 16 + 7i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 7i = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 7i = 0 + -16 7i = 0 + -16 Combine like terms: 0 + -16 = -16 7i = -16 Divide each side by '7'. i = -2.285714286 Simplifying i = -2.285714286
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