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Simplifying 8 + -2i + -1 = -8 + 2i + 1 + i Reorder the terms: 8 + -1 + -2i = -8 + 2i + 1 + i Combine like terms: 8 + -1 = 7 7 + -2i = -8 + 2i + 1 + i Reorder the terms: 7 + -2i = -8 + 1 + 2i + i Combine like terms: -8 + 1 = -7 7 + -2i = -7 + 2i + i Combine like terms: 2i + i = 3i 7 + -2i = -7 + 3i Solving 7 + -2i = -7 + 3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3i' to each side of the equation. 7 + -2i + -3i = -7 + 3i + -3i Combine like terms: -2i + -3i = -5i 7 + -5i = -7 + 3i + -3i Combine like terms: 3i + -3i = 0 7 + -5i = -7 + 0 7 + -5i = -7 Add '-7' to each side of the equation. 7 + -7 + -5i = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -5i = -7 + -7 -5i = -7 + -7 Combine like terms: -7 + -7 = -14 -5i = -14 Divide each side by '-5'. i = 2.8 Simplifying i = 2.8
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