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Simplifying 3(3i + -2) = -24 Reorder the terms: 3(-2 + 3i) = -24 (-2 * 3 + 3i * 3) = -24 (-6 + 9i) = -24 Solving -6 + 9i = -24 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 9i = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 9i = -24 + 6 9i = -24 + 6 Combine like terms: -24 + 6 = -18 9i = -18 Divide each side by '9'. i = -2 Simplifying i = -2
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