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Simplifying 3(2 + -1i) + i = 8 (2 * 3 + -1i * 3) + i = 8 (6 + -3i) + i = 8 Combine like terms: -3i + i = -2i 6 + -2i = 8 Solving 6 + -2i = 8 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -2i = 8 + -6 Combine like terms: 6 + -6 = 0 0 + -2i = 8 + -6 -2i = 8 + -6 Combine like terms: 8 + -6 = 2 -2i = 2 Divide each side by '-2'. i = -1 Simplifying i = -1
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