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Simplifying 8t + -10 + 2t = -6t + 10 + 9t Reorder the terms: -10 + 8t + 2t = -6t + 10 + 9t Combine like terms: 8t + 2t = 10t -10 + 10t = -6t + 10 + 9t Reorder the terms: -10 + 10t = 10 + -6t + 9t Combine like terms: -6t + 9t = 3t -10 + 10t = 10 + 3t Solving -10 + 10t = 10 + 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. -10 + 10t + -3t = 10 + 3t + -3t Combine like terms: 10t + -3t = 7t -10 + 7t = 10 + 3t + -3t Combine like terms: 3t + -3t = 0 -10 + 7t = 10 + 0 -10 + 7t = 10 Add '10' to each side of the equation. -10 + 10 + 7t = 10 + 10 Combine like terms: -10 + 10 = 0 0 + 7t = 10 + 10 7t = 10 + 10 Combine like terms: 10 + 10 = 20 7t = 20 Divide each side by '7'. t = 2.857142857 Simplifying t = 2.857142857
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