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Simplifying -1 + 5 + 2(i + 6) = 12 Reorder the terms: -1 + 5 + 2(6 + i) = 12 -1 + 5 + (6 * 2 + i * 2) = 12 -1 + 5 + (12 + 2i) = 12 Combine like terms: -1 + 5 = 4 4 + 12 + 2i = 12 Combine like terms: 4 + 12 = 16 16 + 2i = 12 Solving 16 + 2i = 12 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 2i = 12 + -16 Combine like terms: 16 + -16 = 0 0 + 2i = 12 + -16 2i = 12 + -16 Combine like terms: 12 + -16 = -4 2i = -4 Divide each side by '2'. i = -2 Simplifying i = -2
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