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Simplifying 0.50(2t + -0.75) + 0.40 = 0.80t Reorder the terms: 0.50(-0.75 + 2t) + 0.40 = 0.80t (-0.75 * 0.50 + 2t * 0.50) + 0.40 = 0.80t (-0.375 + 1t) + 0.40 = 0.80t Reorder the terms: -0.375 + 0.40 + 1t = 0.80t Combine like terms: -0.375 + 0.40 = 0.025 0.025 + 1t = 0.80t Solving 0.025 + 1t = 0.80t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.80t' to each side of the equation. 0.025 + 1t + -0.80t = 0.80t + -0.80t Combine like terms: 1t + -0.80t = 0.2t 0.025 + 0.2t = 0.80t + -0.80t Combine like terms: 0.80t + -0.80t = 0.00 0.025 + 0.2t = 0.00 Add '-0.025' to each side of the equation. 0.025 + -0.025 + 0.2t = 0.00 + -0.025 Combine like terms: 0.025 + -0.025 = 0.000 0.000 + 0.2t = 0.00 + -0.025 0.2t = 0.00 + -0.025 Combine like terms: 0.00 + -0.025 = -0.025 0.2t = -0.025 Divide each side by '0.2'. t = -0.125 Simplifying t = -0.125
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