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Simplifying 1.4 + 3.8t + -2.6 = 0.8t + 0.3 + -2t Reorder the terms: 1.4 + -2.6 + 3.8t = 0.8t + 0.3 + -2t Combine like terms: 1.4 + -2.6 = -1.2 -1.2 + 3.8t = 0.8t + 0.3 + -2t Reorder the terms: -1.2 + 3.8t = 0.3 + 0.8t + -2t Combine like terms: 0.8t + -2t = -1.2t -1.2 + 3.8t = 0.3 + -1.2t Solving -1.2 + 3.8t = 0.3 + -1.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '1.2t' to each side of the equation. -1.2 + 3.8t + 1.2t = 0.3 + -1.2t + 1.2t Combine like terms: 3.8t + 1.2t = 5t -1.2 + 5t = 0.3 + -1.2t + 1.2t Combine like terms: -1.2t + 1.2t = 0.0 -1.2 + 5t = 0.3 + 0.0 -1.2 + 5t = 0.3 Add '1.2' to each side of the equation. -1.2 + 1.2 + 5t = 0.3 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 5t = 0.3 + 1.2 5t = 0.3 + 1.2 Combine like terms: 0.3 + 1.2 = 1.5 5t = 1.5 Divide each side by '5'. t = 0.3 Simplifying t = 0.3
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