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Simplifying 14.2 + -25.7 = 3.8t + 30.46 Combine like terms: 14.2 + -25.7 = -11.5 -11.5 = 3.8t + 30.46 Reorder the terms: -11.5 = 30.46 + 3.8t Solving -11.5 = 30.46 + 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. -11.5 + -3.8t = 30.46 + 3.8t + -3.8t Combine like terms: 3.8t + -3.8t = 0.0 -11.5 + -3.8t = 30.46 + 0.0 -11.5 + -3.8t = 30.46 Add '11.5' to each side of the equation. -11.5 + 11.5 + -3.8t = 30.46 + 11.5 Combine like terms: -11.5 + 11.5 = 0.0 0.0 + -3.8t = 30.46 + 11.5 -3.8t = 30.46 + 11.5 Combine like terms: 30.46 + 11.5 = 41.96 -3.8t = 41.96 Divide each side by '-3.8'. t = -11.04210526 Simplifying t = -11.04210526
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