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Simplifying 8t + 2t + -6 = 8t + 3 + -5t Reorder the terms: -6 + 8t + 2t = 8t + 3 + -5t Combine like terms: 8t + 2t = 10t -6 + 10t = 8t + 3 + -5t Reorder the terms: -6 + 10t = 3 + 8t + -5t Combine like terms: 8t + -5t = 3t -6 + 10t = 3 + 3t Solving -6 + 10t = 3 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -6 + 10t + -3t = 3 + 3t + -3t Combine like terms: 10t + -3t = 7t -6 + 7t = 3 + 3t + -3t Combine like terms: 3t + -3t = 0 -6 + 7t = 3 + 0 -6 + 7t = 3 Add '6' to each side of the equation. -6 + 6 + 7t = 3 + 6 Combine like terms: -6 + 6 = 0 0 + 7t = 3 + 6 7t = 3 + 6 Combine like terms: 3 + 6 = 9 7t = 9 Divide each side by '7'. t = 1.285714286 Simplifying t = 1.285714286
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