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Simplifying (-4 + i) + -1(-10 + -8i) + (8 + 7i) = 0 Remove parenthesis around (-4 + i) -4 + i + -1(-10 + -8i) + (8 + 7i) = 0 -4 + i + (-10 * -1 + -8i * -1) + (8 + 7i) = 0 -4 + i + (10 + 8i) + (8 + 7i) = 0 Remove parenthesis around (8 + 7i) -4 + i + 10 + 8i + 8 + 7i = 0 Reorder the terms: -4 + 10 + 8 + i + 8i + 7i = 0 Combine like terms: -4 + 10 = 6 6 + 8 + i + 8i + 7i = 0 Combine like terms: 6 + 8 = 14 14 + i + 8i + 7i = 0 Combine like terms: i + 8i = 9i 14 + 9i + 7i = 0 Combine like terms: 9i + 7i = 16i 14 + 16i = 0 Solving 14 + 16i = 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 + 16i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 16i = 0 + -14 16i = 0 + -14 Combine like terms: 0 + -14 = -14 16i = -14 Divide each side by '16'. i = -0.875 Simplifying i = -0.875
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