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Simplifying 0.8t + -1 = 0.33t + 5 Reorder the terms: -1 + 0.8t = 0.33t + 5 Reorder the terms: -1 + 0.8t = 5 + 0.33t Solving -1 + 0.8t = 5 + 0.33t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.33t' to each side of the equation. -1 + 0.8t + -0.33t = 5 + 0.33t + -0.33t Combine like terms: 0.8t + -0.33t = 0.47t -1 + 0.47t = 5 + 0.33t + -0.33t Combine like terms: 0.33t + -0.33t = 0.00 -1 + 0.47t = 5 + 0.00 -1 + 0.47t = 5 Add '1' to each side of the equation. -1 + 1 + 0.47t = 5 + 1 Combine like terms: -1 + 1 = 0 0 + 0.47t = 5 + 1 0.47t = 5 + 1 Combine like terms: 5 + 1 = 6 0.47t = 6 Divide each side by '0.47'. t = 12.76595745 Simplifying t = 12.76595745
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