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Simplifying 5i + -1(8 + -7i) = 0 5i + (8 * -1 + -7i * -1) = 0 5i + (-8 + 7i) = 0 Reorder the terms: -8 + 5i + 7i = 0 Combine like terms: 5i + 7i = 12i -8 + 12i = 0 Solving -8 + 12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 12i = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 12i = 0 + 8 12i = 0 + 8 Combine like terms: 0 + 8 = 8 12i = 8 Divide each side by '12'. i = 0.6666666667 Simplifying i = 0.6666666667
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