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Simplifying 4t + 51 + 6t = 17 + 8t Reorder the terms: 51 + 4t + 6t = 17 + 8t Combine like terms: 4t + 6t = 10t 51 + 10t = 17 + 8t Solving 51 + 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. 51 + 10t + -8t = 17 + 8t + -8t Combine like terms: 10t + -8t = 2t 51 + 2t = 17 + 8t + -8t Combine like terms: 8t + -8t = 0 51 + 2t = 17 + 0 51 + 2t = 17 Add '-51' to each side of the equation. 51 + -51 + 2t = 17 + -51 Combine like terms: 51 + -51 = 0 0 + 2t = 17 + -51 2t = 17 + -51 Combine like terms: 17 + -51 = -34 2t = -34 Divide each side by '2'. t = -17 Simplifying t = -17
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