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Simplifying 4 + 13t + -2 = 7t + 83 + -3t Reorder the terms: 4 + -2 + 13t = 7t + 83 + -3t Combine like terms: 4 + -2 = 2 2 + 13t = 7t + 83 + -3t Reorder the terms: 2 + 13t = 83 + 7t + -3t Combine like terms: 7t + -3t = 4t 2 + 13t = 83 + 4t Solving 2 + 13t = 83 + 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. 2 + 13t + -4t = 83 + 4t + -4t Combine like terms: 13t + -4t = 9t 2 + 9t = 83 + 4t + -4t Combine like terms: 4t + -4t = 0 2 + 9t = 83 + 0 2 + 9t = 83 Add '-2' to each side of the equation. 2 + -2 + 9t = 83 + -2 Combine like terms: 2 + -2 = 0 0 + 9t = 83 + -2 9t = 83 + -2 Combine like terms: 83 + -2 = 81 9t = 81 Divide each side by '9'. t = 9 Simplifying t = 9
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