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Simplifying 0.5t + 4.1 = 5.7 + -3.0t Reorder the terms: 4.1 + 0.5t = 5.7 + -3.0t Solving 4.1 + 0.5t = 5.7 + -3.0t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3.0t' to each side of the equation. 4.1 + 0.5t + 3.0t = 5.7 + -3.0t + 3.0t Combine like terms: 0.5t + 3.0t = 3.5t 4.1 + 3.5t = 5.7 + -3.0t + 3.0t Combine like terms: -3.0t + 3.0t = 0.0 4.1 + 3.5t = 5.7 + 0.0 4.1 + 3.5t = 5.7 Add '-4.1' to each side of the equation. 4.1 + -4.1 + 3.5t = 5.7 + -4.1 Combine like terms: 4.1 + -4.1 = 0.0 0.0 + 3.5t = 5.7 + -4.1 3.5t = 5.7 + -4.1 Combine like terms: 5.7 + -4.1 = 1.6 3.5t = 1.6 Divide each side by '3.5'. t = 0.4571428571 Simplifying t = 0.4571428571
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