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Simplifying -1i + 5 + 2(i + 6) = 12 Reorder the terms: -1i + 5 + 2(6 + i) = 12 -1i + 5 + (6 * 2 + i * 2) = 12 -1i + 5 + (12 + 2i) = 12 Reorder the terms: 5 + 12 + -1i + 2i = 12 Combine like terms: 5 + 12 = 17 17 + -1i + 2i = 12 Combine like terms: -1i + 2i = 1i 17 + 1i = 12 Solving 17 + 1i = 12 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 1i = 12 + -17 Combine like terms: 17 + -17 = 0 0 + 1i = 12 + -17 1i = 12 + -17 Combine like terms: 12 + -17 = -5 1i = -5 Divide each side by '1'. i = -5 Simplifying i = -5
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