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Simplifying 0.25t + 35 = 0.2t + 45 Reorder the terms: 35 + 0.25t = 0.2t + 45 Reorder the terms: 35 + 0.25t = 45 + 0.2t Solving 35 + 0.25t = 45 + 0.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.2t' to each side of the equation. 35 + 0.25t + -0.2t = 45 + 0.2t + -0.2t Combine like terms: 0.25t + -0.2t = 0.05t 35 + 0.05t = 45 + 0.2t + -0.2t Combine like terms: 0.2t + -0.2t = 0.0 35 + 0.05t = 45 + 0.0 35 + 0.05t = 45 Add '-35' to each side of the equation. 35 + -35 + 0.05t = 45 + -35 Combine like terms: 35 + -35 = 0 0 + 0.05t = 45 + -35 0.05t = 45 + -35 Combine like terms: 45 + -35 = 10 0.05t = 10 Divide each side by '0.05'. t = 200 Simplifying t = 200
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