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Simplifying 5t + 10(t + 12) + 25(t + 10) = 770 Reorder the terms: 5t + 10(12 + t) + 25(t + 10) = 770 5t + (12 * 10 + t * 10) + 25(t + 10) = 770 5t + (120 + 10t) + 25(t + 10) = 770 Reorder the terms: 5t + 120 + 10t + 25(10 + t) = 770 5t + 120 + 10t + (10 * 25 + t * 25) = 770 5t + 120 + 10t + (250 + 25t) = 770 Reorder the terms: 120 + 250 + 5t + 10t + 25t = 770 Combine like terms: 120 + 250 = 370 370 + 5t + 10t + 25t = 770 Combine like terms: 5t + 10t = 15t 370 + 15t + 25t = 770 Combine like terms: 15t + 25t = 40t 370 + 40t = 770 Solving 370 + 40t = 770 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-370' to each side of the equation. 370 + -370 + 40t = 770 + -370 Combine like terms: 370 + -370 = 0 0 + 40t = 770 + -370 40t = 770 + -370 Combine like terms: 770 + -370 = 400 40t = 400 Divide each side by '40'. t = 10 Simplifying t = 10
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