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Simplifying 6 + 18t + -5 = 7t + 113 + -3t Reorder the terms: 6 + -5 + 18t = 7t + 113 + -3t Combine like terms: 6 + -5 = 1 1 + 18t = 7t + 113 + -3t Reorder the terms: 1 + 18t = 113 + 7t + -3t Combine like terms: 7t + -3t = 4t 1 + 18t = 113 + 4t Solving 1 + 18t = 113 + 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. 1 + 18t + -4t = 113 + 4t + -4t Combine like terms: 18t + -4t = 14t 1 + 14t = 113 + 4t + -4t Combine like terms: 4t + -4t = 0 1 + 14t = 113 + 0 1 + 14t = 113 Add '-1' to each side of the equation. 1 + -1 + 14t = 113 + -1 Combine like terms: 1 + -1 = 0 0 + 14t = 113 + -1 14t = 113 + -1 Combine like terms: 113 + -1 = 112 14t = 112 Divide each side by '14'. t = 8 Simplifying t = 8
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