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Simplifying 12 + 10t = 8t + 17 Reorder the terms: 12 + 10t = 17 + 8t Solving 12 + 10t = 17 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 12 + 10t + -8t = 17 + 8t + -8t Combine like terms: 10t + -8t = 2t 12 + 2t = 17 + 8t + -8t Combine like terms: 8t + -8t = 0 12 + 2t = 17 + 0 12 + 2t = 17 Add '-12' to each side of the equation. 12 + -12 + 2t = 17 + -12 Combine like terms: 12 + -12 = 0 0 + 2t = 17 + -12 2t = 17 + -12 Combine like terms: 17 + -12 = 5 2t = 5 Divide each side by '2'. t = 2.5 Simplifying t = 2.5
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