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Simplifying 0.5t + 0.1 = 3 + -1t Reorder the terms: 0.1 + 0.5t = 3 + -1t Solving 0.1 + 0.5t = 3 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 0.1 + 0.5t + t = 3 + -1t + t Combine like terms: 0.5t + t = 1.5t 0.1 + 1.5t = 3 + -1t + t Combine like terms: -1t + t = 0 0.1 + 1.5t = 3 + 0 0.1 + 1.5t = 3 Add '-0.1' to each side of the equation. 0.1 + -0.1 + 1.5t = 3 + -0.1 Combine like terms: 0.1 + -0.1 = 0.0 0.0 + 1.5t = 3 + -0.1 1.5t = 3 + -0.1 Combine like terms: 3 + -0.1 = 2.9 1.5t = 2.9 Divide each side by '1.5'. t = 1.933333333 Simplifying t = 1.933333333
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