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Simplifying 5 + 17t + -1 = 7t + 82 + -3t Reorder the terms: 5 + -1 + 17t = 7t + 82 + -3t Combine like terms: 5 + -1 = 4 4 + 17t = 7t + 82 + -3t Reorder the terms: 4 + 17t = 82 + 7t + -3t Combine like terms: 7t + -3t = 4t 4 + 17t = 82 + 4t Solving 4 + 17t = 82 + 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. 4 + 17t + -4t = 82 + 4t + -4t Combine like terms: 17t + -4t = 13t 4 + 13t = 82 + 4t + -4t Combine like terms: 4t + -4t = 0 4 + 13t = 82 + 0 4 + 13t = 82 Add '-4' to each side of the equation. 4 + -4 + 13t = 82 + -4 Combine like terms: 4 + -4 = 0 0 + 13t = 82 + -4 13t = 82 + -4 Combine like terms: 82 + -4 = 78 13t = 78 Divide each side by '13'. t = 6 Simplifying t = 6
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