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Simplifying 14.2t + 25.2 = 3.8t + 26.8 Reorder the terms: 25.2 + 14.2t = 3.8t + 26.8 Reorder the terms: 25.2 + 14.2t = 26.8 + 3.8t Solving 25.2 + 14.2t = 26.8 + 3.8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.8t' to each side of the equation. 25.2 + 14.2t + -3.8t = 26.8 + 3.8t + -3.8t Combine like terms: 14.2t + -3.8t = 10.4t 25.2 + 10.4t = 26.8 + 3.8t + -3.8t Combine like terms: 3.8t + -3.8t = 0.0 25.2 + 10.4t = 26.8 + 0.0 25.2 + 10.4t = 26.8 Add '-25.2' to each side of the equation. 25.2 + -25.2 + 10.4t = 26.8 + -25.2 Combine like terms: 25.2 + -25.2 = 0.0 0.0 + 10.4t = 26.8 + -25.2 10.4t = 26.8 + -25.2 Combine like terms: 26.8 + -25.2 = 1.6 10.4t = 1.6 Divide each side by '10.4'. t = 0.1538461538 Simplifying t = 0.1538461538
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