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Simplifying 400t = 250(t + 4) Reorder the terms: 400t = 250(4 + t) 400t = (4 * 250 + t * 250) 400t = (1000 + 250t) Solving 400t = 1000 + 250t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-250t' to each side of the equation. 400t + -250t = 1000 + 250t + -250t Combine like terms: 400t + -250t = 150t 150t = 1000 + 250t + -250t Combine like terms: 250t + -250t = 0 150t = 1000 + 0 150t = 1000 Divide each side by '150'. t = 6.666666667 Simplifying t = 6.666666667
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