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Simplifying 0.5t + 0.6 = 0.4 + -1t Reorder the terms: 0.6 + 0.5t = 0.4 + -1t Solving 0.6 + 0.5t = 0.4 + -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. 0.6 + 0.5t + t = 0.4 + -1t + t Combine like terms: 0.5t + t = 1.5t 0.6 + 1.5t = 0.4 + -1t + t Combine like terms: -1t + t = 0 0.6 + 1.5t = 0.4 + 0 0.6 + 1.5t = 0.4 Add '-0.6' to each side of the equation. 0.6 + -0.6 + 1.5t = 0.4 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + 1.5t = 0.4 + -0.6 1.5t = 0.4 + -0.6 Combine like terms: 0.4 + -0.6 = -0.2 1.5t = -0.2 Divide each side by '1.5'. t = -0.1333333333 Simplifying t = -0.1333333333
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