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Simplifying -3(3i + -4) + 12 = -33 Reorder the terms: -3(-4 + 3i) + 12 = -33 (-4 * -3 + 3i * -3) + 12 = -33 (12 + -9i) + 12 = -33 Reorder the terms: 12 + 12 + -9i = -33 Combine like terms: 12 + 12 = 24 24 + -9i = -33 Solving 24 + -9i = -33 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -9i = -33 + -24 Combine like terms: 24 + -24 = 0 0 + -9i = -33 + -24 -9i = -33 + -24 Combine like terms: -33 + -24 = -57 -9i = -57 Divide each side by '-9'. i = 6.333333333 Simplifying i = 6.333333333
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