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Simplifying 5i + -1(10 + -7i) = 0 5i + (10 * -1 + -7i * -1) = 0 5i + (-10 + 7i) = 0 Reorder the terms: -10 + 5i + 7i = 0 Combine like terms: 5i + 7i = 12i -10 + 12i = 0 Solving -10 + 12i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 12i = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 12i = 0 + 10 12i = 0 + 10 Combine like terms: 0 + 10 = 10 12i = 10 Divide each side by '12'. i = 0.8333333333 Simplifying i = 0.8333333333
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