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Simplifying (i + -3) + 6i + -3(8 + -1i) = 0 Reorder the terms: (-3 + i) + 6i + -3(8 + -1i) = 0 Remove parenthesis around (-3 + i) -3 + i + 6i + -3(8 + -1i) = 0 -3 + i + 6i + (8 * -3 + -1i * -3) = 0 -3 + i + 6i + (-24 + 3i) = 0 Reorder the terms: -3 + -24 + i + 6i + 3i = 0 Combine like terms: -3 + -24 = -27 -27 + i + 6i + 3i = 0 Combine like terms: i + 6i = 7i -27 + 7i + 3i = 0 Combine like terms: 7i + 3i = 10i -27 + 10i = 0 Solving -27 + 10i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 10i = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 10i = 0 + 27 10i = 0 + 27 Combine like terms: 0 + 27 = 27 10i = 27 Divide each side by '10'. i = 2.7 Simplifying i = 2.7
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