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Simplifying 3i + 7 + -1(-6 + 2i) + 6i + -8 = 0 3i + 7 + (-6 * -1 + 2i * -1) + 6i + -8 = 0 3i + 7 + (6 + -2i) + 6i + -8 = 0 Reorder the terms: 7 + 6 + -8 + 3i + -2i + 6i = 0 Combine like terms: 7 + 6 = 13 13 + -8 + 3i + -2i + 6i = 0 Combine like terms: 13 + -8 = 5 5 + 3i + -2i + 6i = 0 Combine like terms: 3i + -2i = 1i 5 + 1i + 6i = 0 Combine like terms: 1i + 6i = 7i 5 + 7i = 0 Solving 5 + 7i = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7i = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7i = 0 + -5 7i = 0 + -5 Combine like terms: 0 + -5 = -5 7i = -5 Divide each side by '7'. i = -0.7142857143 Simplifying i = -0.7142857143
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