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Simplifying 2(6t + 5) = 60 + -2t Reorder the terms: 2(5 + 6t) = 60 + -2t (5 * 2 + 6t * 2) = 60 + -2t (10 + 12t) = 60 + -2t Solving 10 + 12t = 60 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. 10 + 12t + 2t = 60 + -2t + 2t Combine like terms: 12t + 2t = 14t 10 + 14t = 60 + -2t + 2t Combine like terms: -2t + 2t = 0 10 + 14t = 60 + 0 10 + 14t = 60 Add '-10' to each side of the equation. 10 + -10 + 14t = 60 + -10 Combine like terms: 10 + -10 = 0 0 + 14t = 60 + -10 14t = 60 + -10 Combine like terms: 60 + -10 = 50 14t = 50 Divide each side by '14'. t = 3.571428571 Simplifying t = 3.571428571
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