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Simplifying 8t + 3i + -6t + -1i = 0 Reorder the terms: 3i + -1i + 8t + -6t = 0 Combine like terms: 3i + -1i = 2i 2i + 8t + -6t = 0 Combine like terms: 8t + -6t = 2t 2i + 2t = 0 Solving 2i + 2t = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2t' to each side of the equation. 2i + 2t + -2t = 0 + -2t Combine like terms: 2t + -2t = 0 2i + 0 = 0 + -2t 2i = 0 + -2t Remove the zero: 2i = -2t Divide each side by '2'. i = -1t Simplifying i = -1t
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