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Simplifying 8 + -1(-3 + 9i) + -1(-7 + -1i) = 0 8 + (-3 * -1 + 9i * -1) + -1(-7 + -1i) = 0 8 + (3 + -9i) + -1(-7 + -1i) = 0 8 + 3 + -9i + (-7 * -1 + -1i * -1) = 0 8 + 3 + -9i + (7 + 1i) = 0 Reorder the terms: 8 + 3 + 7 + -9i + 1i = 0 Combine like terms: 8 + 3 = 11 11 + 7 + -9i + 1i = 0 Combine like terms: 11 + 7 = 18 18 + -9i + 1i = 0 Combine like terms: -9i + 1i = -8i 18 + -8i = 0 Solving 18 + -8i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -8i = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -8i = 0 + -18 -8i = 0 + -18 Combine like terms: 0 + -18 = -18 -8i = -18 Divide each side by '-8'. i = 2.25 Simplifying i = 2.25
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