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Simplifying 13(t + 1) + 3(2 + 4t) = 38 Reorder the terms: 13(1 + t) + 3(2 + 4t) = 38 (1 * 13 + t * 13) + 3(2 + 4t) = 38 (13 + 13t) + 3(2 + 4t) = 38 13 + 13t + (2 * 3 + 4t * 3) = 38 13 + 13t + (6 + 12t) = 38 Reorder the terms: 13 + 6 + 13t + 12t = 38 Combine like terms: 13 + 6 = 19 19 + 13t + 12t = 38 Combine like terms: 13t + 12t = 25t 19 + 25t = 38 Solving 19 + 25t = 38 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 25t = 38 + -19 Combine like terms: 19 + -19 = 0 0 + 25t = 38 + -19 25t = 38 + -19 Combine like terms: 38 + -19 = 19 25t = 19 Divide each side by '25'. t = 0.76 Simplifying t = 0.76
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