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Simplifying (3t + 5t) + -6 = t + 17 Combine like terms: 3t + 5t = 8t (8t) + -6 = t + 17 (8t) + -6 = t + 17 Reorder the terms: -6 + (8t) = t + 17 Reorder the terms: -6 + (8t) = 17 + t Solving -6 + (8t) = 17 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -6 + (8t) + -1t = 17 + t + -1t Combine like terms: (8t) + -1t = 7t -6 + 7t = 17 + t + -1t Combine like terms: t + -1t = 0 -6 + 7t = 17 + 0 -6 + 7t = 17 Add '6' to each side of the equation. -6 + 6 + 7t = 17 + 6 Combine like terms: -6 + 6 = 0 0 + 7t = 17 + 6 7t = 17 + 6 Combine like terms: 17 + 6 = 23 7t = 23 Divide each side by '7'. t = 3.285714286 Simplifying t = 3.285714286
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