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Simplifying 5t + 10(t + 12) + 25(t + 13) = 645 Reorder the terms: 5t + 10(12 + t) + 25(t + 13) = 645 5t + (12 * 10 + t * 10) + 25(t + 13) = 645 5t + (120 + 10t) + 25(t + 13) = 645 Reorder the terms: 5t + 120 + 10t + 25(13 + t) = 645 5t + 120 + 10t + (13 * 25 + t * 25) = 645 5t + 120 + 10t + (325 + 25t) = 645 Reorder the terms: 120 + 325 + 5t + 10t + 25t = 645 Combine like terms: 120 + 325 = 445 445 + 5t + 10t + 25t = 645 Combine like terms: 5t + 10t = 15t 445 + 15t + 25t = 645 Combine like terms: 15t + 25t = 40t 445 + 40t = 645 Solving 445 + 40t = 645 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-445' to each side of the equation. 445 + -445 + 40t = 645 + -445 Combine like terms: 445 + -445 = 0 0 + 40t = 645 + -445 40t = 645 + -445 Combine like terms: 645 + -445 = 200 40t = 200 Divide each side by '40'. t = 5 Simplifying t = 5
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