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Simplifying 7 + -1(-8 + 6i) + -1(-8 + -1i) = 0 7 + (-8 * -1 + 6i * -1) + -1(-8 + -1i) = 0 7 + (8 + -6i) + -1(-8 + -1i) = 0 7 + 8 + -6i + (-8 * -1 + -1i * -1) = 0 7 + 8 + -6i + (8 + 1i) = 0 Reorder the terms: 7 + 8 + 8 + -6i + 1i = 0 Combine like terms: 7 + 8 = 15 15 + 8 + -6i + 1i = 0 Combine like terms: 15 + 8 = 23 23 + -6i + 1i = 0 Combine like terms: -6i + 1i = -5i 23 + -5i = 0 Solving 23 + -5i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -5i = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -5i = 0 + -23 -5i = 0 + -23 Combine like terms: 0 + -23 = -23 -5i = -23 Divide each side by '-5'. i = 4.6 Simplifying i = 4.6
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