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Simplifying -1i + 5(2i + 12) = 12 Reorder the terms: -1i + 5(12 + 2i) = 12 -1i + (12 * 5 + 2i * 5) = 12 -1i + (60 + 10i) = 12 Reorder the terms: 60 + -1i + 10i = 12 Combine like terms: -1i + 10i = 9i 60 + 9i = 12 Solving 60 + 9i = 12 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 9i = 12 + -60 Combine like terms: 60 + -60 = 0 0 + 9i = 12 + -60 9i = 12 + -60 Combine like terms: 12 + -60 = -48 9i = -48 Divide each side by '9'. i = -5.333333333 Simplifying i = -5.333333333
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