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Simplifying 9 + -1(18 + 3i) = 0 9 + (18 * -1 + 3i * -1) = 0 9 + (-18 + -3i) = 0 Combine like terms: 9 + -18 = -9 -9 + -3i = 0 Solving -9 + -3i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -3i = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -3i = 0 + 9 -3i = 0 + 9 Combine like terms: 0 + 9 = 9 -3i = 9 Divide each side by '-3'. i = -3 Simplifying i = -3
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