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Simplifying 8t + 31 + -6t + -1i = 0 Reorder the terms: 31 + -1i + 8t + -6t = 0 Combine like terms: 8t + -6t = 2t 31 + -1i + 2t = 0 Solving 31 + -1i + 2t = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -1i + -31 + 2t = 0 + -31 Reorder the terms: 31 + -31 + -1i + 2t = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -1i + 2t = 0 + -31 -1i + 2t = 0 + -31 Combine like terms: 0 + -31 = -31 -1i + 2t = -31 Add '-2t' to each side of the equation. -1i + 2t + -2t = -31 + -2t Combine like terms: 2t + -2t = 0 -1i + 0 = -31 + -2t -1i = -31 + -2t Divide each side by '-1'. i = 31 + 2t Simplifying i = 31 + 2t
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