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Simplifying 8t + 3i + -6t + -1 = 0 Reorder the terms: -1 + 3i + 8t + -6t = 0 Combine like terms: 8t + -6t = 2t -1 + 3i + 2t = 0 Solving -1 + 3i + 2t = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 3i + 1 + 2t = 0 + 1 Reorder the terms: -1 + 1 + 3i + 2t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3i + 2t = 0 + 1 3i + 2t = 0 + 1 Combine like terms: 0 + 1 = 1 3i + 2t = 1 Add '-2t' to each side of the equation. 3i + 2t + -2t = 1 + -2t Combine like terms: 2t + -2t = 0 3i + 0 = 1 + -2t 3i = 1 + -2t Divide each side by '3'. i = 0.3333333333 + -0.6666666667t Simplifying i = 0.3333333333 + -0.6666666667t
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