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Simplifying 1.7t + 8 + -1.62t = 0.4 + -0.32 + 8 Reorder the terms: 8 + 1.7t + -1.62t = 0.4 + -0.32 + 8 Combine like terms: 1.7t + -1.62t = 0.08t 8 + 0.08t = 0.4 + -0.32 + 8 Combine like terms: 0.4 + -0.32 = 0.08 8 + 0.08t = 0.08 + 8 Combine like terms: 0.08 + 8 = 8.08 8 + 0.08t = 8.08 Solving 8 + 0.08t = 8.08 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 0.08t = 8.08 + -8 Combine like terms: 8 + -8 = 0 0 + 0.08t = 8.08 + -8 0.08t = 8.08 + -8 Combine like terms: 8.08 + -8 = 0.08 0.08t = 0.08 Divide each side by '0.08'. t = 1 Simplifying t = 1
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