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Simplifying (8 + 8i) + -1(-6 + i) = 0 Remove parenthesis around (8 + 8i) 8 + 8i + -1(-6 + i) = 0 8 + 8i + (-6 * -1 + i * -1) = 0 8 + 8i + (6 + -1i) = 0 Reorder the terms: 8 + 6 + 8i + -1i = 0 Combine like terms: 8 + 6 = 14 14 + 8i + -1i = 0 Combine like terms: 8i + -1i = 7i 14 + 7i = 0 Solving 14 + 7i = 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 + 7i = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 7i = 0 + -14 7i = 0 + -14 Combine like terms: 0 + -14 = -14 7i = -14 Divide each side by '7'. i = -2 Simplifying i = -2
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