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Simplifying 14.2t + -25.2 = 3.5t + 26.8 Reorder the terms: -25.2 + 14.2t = 3.5t + 26.8 Reorder the terms: -25.2 + 14.2t = 26.8 + 3.5t Solving -25.2 + 14.2t = 26.8 + 3.5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3.5t' to each side of the equation. -25.2 + 14.2t + -3.5t = 26.8 + 3.5t + -3.5t Combine like terms: 14.2t + -3.5t = 10.7t -25.2 + 10.7t = 26.8 + 3.5t + -3.5t Combine like terms: 3.5t + -3.5t = 0.0 -25.2 + 10.7t = 26.8 + 0.0 -25.2 + 10.7t = 26.8 Add '25.2' to each side of the equation. -25.2 + 25.2 + 10.7t = 26.8 + 25.2 Combine like terms: -25.2 + 25.2 = 0.0 0.0 + 10.7t = 26.8 + 25.2 10.7t = 26.8 + 25.2 Combine like terms: 26.8 + 25.2 = 52 10.7t = 52 Divide each side by '10.7'. t = 4.859813084 Simplifying t = 4.859813084
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