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Simplifying (7 + 9i) + -1(-8 + i) = 0 Remove parenthesis around (7 + 9i) 7 + 9i + -1(-8 + i) = 0 7 + 9i + (-8 * -1 + i * -1) = 0 7 + 9i + (8 + -1i) = 0 Reorder the terms: 7 + 8 + 9i + -1i = 0 Combine like terms: 7 + 8 = 15 15 + 9i + -1i = 0 Combine like terms: 9i + -1i = 8i 15 + 8i = 0 Solving 15 + 8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 8i = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 8i = 0 + -15 8i = 0 + -15 Combine like terms: 0 + -15 = -15 8i = -15 Divide each side by '8'. i = -1.875 Simplifying i = -1.875
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