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Simplifying 5t + 10(t + 3) + 25(t + 10) = 800 Reorder the terms: 5t + 10(3 + t) + 25(t + 10) = 800 5t + (3 * 10 + t * 10) + 25(t + 10) = 800 5t + (30 + 10t) + 25(t + 10) = 800 Reorder the terms: 5t + 30 + 10t + 25(10 + t) = 800 5t + 30 + 10t + (10 * 25 + t * 25) = 800 5t + 30 + 10t + (250 + 25t) = 800 Reorder the terms: 30 + 250 + 5t + 10t + 25t = 800 Combine like terms: 30 + 250 = 280 280 + 5t + 10t + 25t = 800 Combine like terms: 5t + 10t = 15t 280 + 15t + 25t = 800 Combine like terms: 15t + 25t = 40t 280 + 40t = 800 Solving 280 + 40t = 800 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-280' to each side of the equation. 280 + -280 + 40t = 800 + -280 Combine like terms: 280 + -280 = 0 0 + 40t = 800 + -280 40t = 800 + -280 Combine like terms: 800 + -280 = 520 40t = 520 Divide each side by '40'. t = 13 Simplifying t = 13
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