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Simplifying 5i + 6 = 8i + -6 Reorder the terms: 6 + 5i = 8i + -6 Reorder the terms: 6 + 5i = -6 + 8i Solving 6 + 5i = -6 + 8i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8i' to each side of the equation. 6 + 5i + -8i = -6 + 8i + -8i Combine like terms: 5i + -8i = -3i 6 + -3i = -6 + 8i + -8i Combine like terms: 8i + -8i = 0 6 + -3i = -6 + 0 6 + -3i = -6 Add '-6' to each side of the equation. 6 + -6 + -3i = -6 + -6 Combine like terms: 6 + -6 = 0 0 + -3i = -6 + -6 -3i = -6 + -6 Combine like terms: -6 + -6 = -12 -3i = -12 Divide each side by '-3'. i = 4 Simplifying i = 4
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