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Simplifying 6 + 13t + -3 = 7t + 53 + -4t Reorder the terms: 6 + -3 + 13t = 7t + 53 + -4t Combine like terms: 6 + -3 = 3 3 + 13t = 7t + 53 + -4t Reorder the terms: 3 + 13t = 53 + 7t + -4t Combine like terms: 7t + -4t = 3t 3 + 13t = 53 + 3t Solving 3 + 13t = 53 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 3 + 13t + -3t = 53 + 3t + -3t Combine like terms: 13t + -3t = 10t 3 + 10t = 53 + 3t + -3t Combine like terms: 3t + -3t = 0 3 + 10t = 53 + 0 3 + 10t = 53 Add '-3' to each side of the equation. 3 + -3 + 10t = 53 + -3 Combine like terms: 3 + -3 = 0 0 + 10t = 53 + -3 10t = 53 + -3 Combine like terms: 53 + -3 = 50 10t = 50 Divide each side by '10'. t = 5 Simplifying t = 5
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