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Simplifying 17t + 8 + -1.62t = 0.4t + -0.32 + 8 Reorder the terms: 8 + 17t + -1.62t = 0.4t + -0.32 + 8 Combine like terms: 17t + -1.62t = 15.38t 8 + 15.38t = 0.4t + -0.32 + 8 Reorder the terms: 8 + 15.38t = -0.32 + 8 + 0.4t Combine like terms: -0.32 + 8 = 7.68 8 + 15.38t = 7.68 + 0.4t Solving 8 + 15.38t = 7.68 + 0.4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.4t' to each side of the equation. 8 + 15.38t + -0.4t = 7.68 + 0.4t + -0.4t Combine like terms: 15.38t + -0.4t = 14.98t 8 + 14.98t = 7.68 + 0.4t + -0.4t Combine like terms: 0.4t + -0.4t = 0.0 8 + 14.98t = 7.68 + 0.0 8 + 14.98t = 7.68 Add '-8' to each side of the equation. 8 + -8 + 14.98t = 7.68 + -8 Combine like terms: 8 + -8 = 0 0 + 14.98t = 7.68 + -8 14.98t = 7.68 + -8 Combine like terms: 7.68 + -8 = -0.32 14.98t = -0.32 Divide each side by '14.98'. t = -0.02136181575 Simplifying t = -0.02136181575
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