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Simplifying 0.5t + 4.1 = 5.7 + -0.3t Reorder the terms: 4.1 + 0.5t = 5.7 + -0.3t Solving 4.1 + 0.5t = 5.7 + -0.3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '0.3t' to each side of the equation. 4.1 + 0.5t + 0.3t = 5.7 + -0.3t + 0.3t Combine like terms: 0.5t + 0.3t = 0.8t 4.1 + 0.8t = 5.7 + -0.3t + 0.3t Combine like terms: -0.3t + 0.3t = 0.0 4.1 + 0.8t = 5.7 + 0.0 4.1 + 0.8t = 5.7 Add '-4.1' to each side of the equation. 4.1 + -4.1 + 0.8t = 5.7 + -4.1 Combine like terms: 4.1 + -4.1 = 0.0 0.0 + 0.8t = 5.7 + -4.1 0.8t = 5.7 + -4.1 Combine like terms: 5.7 + -4.1 = 1.6 0.8t = 1.6 Divide each side by '0.8'. t = 2 Simplifying t = 2
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