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Simplifying 14.2t + -2 = 3.8t + 26.8 Reorder the terms: -2 + 14.2t = 3.8t + 26.8 Reorder the terms: -2 + 14.2t = 26.8 + 3.8t Solving -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. -2 + 14.2t + -3.8t = 26.8 + 3.8t + -3.8t Combine like terms: 14.2t + -3.8t = 10.4t -2 + 10.4t = 26.8 + 3.8t + -3.8t Combine like terms: 3.8t + -3.8t = 0.0 -2 + 10.4t = 26.8 + 0.0 -2 + 10.4t = 26.8 Add '2' to each side of the equation. -2 + 2 + 10.4t = 26.8 + 2 Combine like terms: -2 + 2 = 0 0 + 10.4t = 26.8 + 2 10.4t = 26.8 + 2 Combine like terms: 26.8 + 2 = 28.8 10.4t = 28.8 Divide each side by '10.4'. t = 2.769230769 Simplifying t = 2.769230769
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