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Simplifying -1i + 5 + 2(i + 7) = 12 Reorder the terms: -1i + 5 + 2(7 + i) = 12 -1i + 5 + (7 * 2 + i * 2) = 12 -1i + 5 + (14 + 2i) = 12 Reorder the terms: 5 + 14 + -1i + 2i = 12 Combine like terms: 5 + 14 = 19 19 + -1i + 2i = 12 Combine like terms: -1i + 2i = 1i 19 + 1i = 12 Solving 19 + 1i = 12 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 1i = 12 + -19 Combine like terms: 19 + -19 = 0 0 + 1i = 12 + -19 1i = 12 + -19 Combine like terms: 12 + -19 = -7 1i = -7 Divide each side by '1'. i = -7 Simplifying i = -7
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