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Simplifying 1.7t + 8 + -1.62t = 0.4t + -0.32 + 8 Reorder the terms: 8 + 1.7t + -1.62t = 0.4t + -0.32 + 8 Combine like terms: 1.7t + -1.62t = 0.08t 8 + 0.08t = 0.4t + -0.32 + 8 Reorder the terms: 8 + 0.08t = -0.32 + 8 + 0.4t Combine like terms: -0.32 + 8 = 7.68 8 + 0.08t = 7.68 + 0.4t Solving 8 + 0.08t = 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 + 0.08t + -0.4t = 7.68 + 0.4t + -0.4t Combine like terms: 0.08t + -0.4t = -0.32t 8 + -0.32t = 7.68 + 0.4t + -0.4t Combine like terms: 0.4t + -0.4t = 0.0 8 + -0.32t = 7.68 + 0.0 8 + -0.32t = 7.68 Add '-8' to each side of the equation. 8 + -8 + -0.32t = 7.68 + -8 Combine like terms: 8 + -8 = 0 0 + -0.32t = 7.68 + -8 -0.32t = 7.68 + -8 Combine like terms: 7.68 + -8 = -0.32 -0.32t = -0.32 Divide each side by '-0.32'. t = 1 Simplifying t = 1
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