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Simplifying 0.74 + 0.41t = 1.8t + -0.2 Reorder the terms: 0.74 + 0.41t = -0.2 + 1.8t Solving 0.74 + 0.41t = -0.2 + 1.8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.8t' to each side of the equation. 0.74 + 0.41t + -1.8t = -0.2 + 1.8t + -1.8t Combine like terms: 0.41t + -1.8t = -1.39t 0.74 + -1.39t = -0.2 + 1.8t + -1.8t Combine like terms: 1.8t + -1.8t = 0.0 0.74 + -1.39t = -0.2 + 0.0 0.74 + -1.39t = -0.2 Add '-0.74' to each side of the equation. 0.74 + -0.74 + -1.39t = -0.2 + -0.74 Combine like terms: 0.74 + -0.74 = 0.00 0.00 + -1.39t = -0.2 + -0.74 -1.39t = -0.2 + -0.74 Combine like terms: -0.2 + -0.74 = -0.94 -1.39t = -0.94 Divide each side by '-1.39'. t = 0.6762589928 Simplifying t = 0.6762589928
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