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Simplifying 1.7 + 8 + -1.62t = 0.4t + -0.32 Combine like terms: 1.7 + 8 = 9.7 9.7 + -1.62t = 0.4t + -0.32 Reorder the terms: 9.7 + -1.62t = -0.32 + 0.4t Solving 9.7 + -1.62t = -0.32 + 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. 9.7 + -1.62t + -0.4t = -0.32 + 0.4t + -0.4t Combine like terms: -1.62t + -0.4t = -2.02t 9.7 + -2.02t = -0.32 + 0.4t + -0.4t Combine like terms: 0.4t + -0.4t = 0.0 9.7 + -2.02t = -0.32 + 0.0 9.7 + -2.02t = -0.32 Add '-9.7' to each side of the equation. 9.7 + -9.7 + -2.02t = -0.32 + -9.7 Combine like terms: 9.7 + -9.7 = 0.0 0.0 + -2.02t = -0.32 + -9.7 -2.02t = -0.32 + -9.7 Combine like terms: -0.32 + -9.7 = -10.02 -2.02t = -10.02 Divide each side by '-2.02'. t = 4.96039604 Simplifying t = 4.96039604
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