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Simplifying 5t + 10(t + 8) + 25(t + 25) = 0 Reorder the terms: 5t + 10(8 + t) + 25(t + 25) = 0 5t + (8 * 10 + t * 10) + 25(t + 25) = 0 5t + (80 + 10t) + 25(t + 25) = 0 Reorder the terms: 5t + 80 + 10t + 25(25 + t) = 0 5t + 80 + 10t + (25 * 25 + t * 25) = 0 5t + 80 + 10t + (625 + 25t) = 0 Reorder the terms: 80 + 625 + 5t + 10t + 25t = 0 Combine like terms: 80 + 625 = 705 705 + 5t + 10t + 25t = 0 Combine like terms: 5t + 10t = 15t 705 + 15t + 25t = 0 Combine like terms: 15t + 25t = 40t 705 + 40t = 0 Solving 705 + 40t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-705' to each side of the equation. 705 + -705 + 40t = 0 + -705 Combine like terms: 705 + -705 = 0 0 + 40t = 0 + -705 40t = 0 + -705 Combine like terms: 0 + -705 = -705 40t = -705 Divide each side by '40'. t = -17.625 Simplifying t = -17.625
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