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Simplifying 12(2 + -3i) = -24 (2 * 12 + -3i * 12) = -24 (24 + -36i) = -24 Solving 24 + -36i = -24 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 + -36i = -24 + -24 Combine like terms: 24 + -24 = 0 0 + -36i = -24 + -24 -36i = -24 + -24 Combine like terms: -24 + -24 = -48 -36i = -48 Divide each side by '-36'. i = 1.333333333 Simplifying i = 1.333333333
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