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Simplifying 5t + 10(t + 5) + 25(t + 11) = 645 Reorder the terms: 5t + 10(5 + t) + 25(t + 11) = 645 5t + (5 * 10 + t * 10) + 25(t + 11) = 645 5t + (50 + 10t) + 25(t + 11) = 645 Reorder the terms: 5t + 50 + 10t + 25(11 + t) = 645 5t + 50 + 10t + (11 * 25 + t * 25) = 645 5t + 50 + 10t + (275 + 25t) = 645 Reorder the terms: 50 + 275 + 5t + 10t + 25t = 645 Combine like terms: 50 + 275 = 325 325 + 5t + 10t + 25t = 645 Combine like terms: 5t + 10t = 15t 325 + 15t + 25t = 645 Combine like terms: 15t + 25t = 40t 325 + 40t = 645 Solving 325 + 40t = 645 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-325' to each side of the equation. 325 + -325 + 40t = 645 + -325 Combine like terms: 325 + -325 = 0 0 + 40t = 645 + -325 40t = 645 + -325 Combine like terms: 645 + -325 = 320 40t = 320 Divide each side by '40'. t = 8 Simplifying t = 8
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