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Simplifying 9 + 13t + 2 = 7t + 61 + -3t Reorder the terms: 9 + 2 + 13t = 7t + 61 + -3t Combine like terms: 9 + 2 = 11 11 + 13t = 7t + 61 + -3t Reorder the terms: 11 + 13t = 61 + 7t + -3t Combine like terms: 7t + -3t = 4t 11 + 13t = 61 + 4t Solving 11 + 13t = 61 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 11 + 13t + -4t = 61 + 4t + -4t Combine like terms: 13t + -4t = 9t 11 + 9t = 61 + 4t + -4t Combine like terms: 4t + -4t = 0 11 + 9t = 61 + 0 11 + 9t = 61 Add '-11' to each side of the equation. 11 + -11 + 9t = 61 + -11 Combine like terms: 11 + -11 = 0 0 + 9t = 61 + -11 9t = 61 + -11 Combine like terms: 61 + -11 = 50 9t = 50 Divide each side by '9'. t = 5.555555556 Simplifying t = 5.555555556
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