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Simplifying -1i + 5 + 2i + 6 = 12 Reorder the terms: 5 + 6 + -1i + 2i = 12 Combine like terms: 5 + 6 = 11 11 + -1i + 2i = 12 Combine like terms: -1i + 2i = 1i 11 + 1i = 12 Solving 11 + 1i = 12 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 1i = 12 + -11 Combine like terms: 11 + -11 = 0 0 + 1i = 12 + -11 1i = 12 + -11 Combine like terms: 12 + -11 = 1 1i = 1 Divide each side by '1'. i = 1 Simplifying i = 1
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