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Simplifying 0.5 + 0.4t + -1 = 0.2t + t Reorder the terms: 0.5 + -1 + 0.4t = 0.2t + t Combine like terms: 0.5 + -1 = -0.5 -0.5 + 0.4t = 0.2t + t Combine like terms: 0.2t + t = 1.2t -0.5 + 0.4t = 1.2t Solving -0.5 + 0.4t = 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. -0.5 + 0.4t + -1.2t = 1.2t + -1.2t Combine like terms: 0.4t + -1.2t = -0.8t -0.5 + -0.8t = 1.2t + -1.2t Combine like terms: 1.2t + -1.2t = 0.0 -0.5 + -0.8t = 0.0 Add '0.5' to each side of the equation. -0.5 + 0.5 + -0.8t = 0.0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + -0.8t = 0.0 + 0.5 -0.8t = 0.0 + 0.5 Combine like terms: 0.0 + 0.5 = 0.5 -0.8t = 0.5 Divide each side by '-0.8'. t = -0.625 Simplifying t = -0.625
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