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Simplifying 6 + 13t + -1 = 7t + 45 + -4t Reorder the terms: 6 + -1 + 13t = 7t + 45 + -4t Combine like terms: 6 + -1 = 5 5 + 13t = 7t + 45 + -4t Reorder the terms: 5 + 13t = 45 + 7t + -4t Combine like terms: 7t + -4t = 3t 5 + 13t = 45 + 3t Solving 5 + 13t = 45 + 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. 5 + 13t + -3t = 45 + 3t + -3t Combine like terms: 13t + -3t = 10t 5 + 10t = 45 + 3t + -3t Combine like terms: 3t + -3t = 0 5 + 10t = 45 + 0 5 + 10t = 45 Add '-5' to each side of the equation. 5 + -5 + 10t = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 10t = 45 + -5 10t = 45 + -5 Combine like terms: 45 + -5 = 40 10t = 40 Divide each side by '10'. t = 4 Simplifying t = 4
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