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Simplifying 3t + 7t + 2 = 8 + 5t + -2t Reorder the terms: 2 + 3t + 7t = 8 + 5t + -2t Combine like terms: 3t + 7t = 10t 2 + 10t = 8 + 5t + -2t Combine like terms: 5t + -2t = 3t 2 + 10t = 8 + 3t Solving 2 + 10t = 8 + 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. 2 + 10t + -3t = 8 + 3t + -3t Combine like terms: 10t + -3t = 7t 2 + 7t = 8 + 3t + -3t Combine like terms: 3t + -3t = 0 2 + 7t = 8 + 0 2 + 7t = 8 Add '-2' to each side of the equation. 2 + -2 + 7t = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 7t = 8 + -2 7t = 8 + -2 Combine like terms: 8 + -2 = 6 7t = 6 Divide each side by '7'. t = 0.8571428571 Simplifying t = 0.8571428571
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