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Simplifying 4(25t + 25) = 20(3t + 15) Reorder the terms: 4(25 + 25t) = 20(3t + 15) (25 * 4 + 25t * 4) = 20(3t + 15) (100 + 100t) = 20(3t + 15) Reorder the terms: 100 + 100t = 20(15 + 3t) 100 + 100t = (15 * 20 + 3t * 20) 100 + 100t = (300 + 60t) Solving 100 + 100t = 300 + 60t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-60t' to each side of the equation. 100 + 100t + -60t = 300 + 60t + -60t Combine like terms: 100t + -60t = 40t 100 + 40t = 300 + 60t + -60t Combine like terms: 60t + -60t = 0 100 + 40t = 300 + 0 100 + 40t = 300 Add '-100' to each side of the equation. 100 + -100 + 40t = 300 + -100 Combine like terms: 100 + -100 = 0 0 + 40t = 300 + -100 40t = 300 + -100 Combine like terms: 300 + -100 = 200 40t = 200 Divide each side by '40'. t = 5 Simplifying t = 5
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