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Simplifying 7 + 18t + -1 = 8t + 54 + -6t Reorder the terms: 7 + -1 + 18t = 8t + 54 + -6t Combine like terms: 7 + -1 = 6 6 + 18t = 8t + 54 + -6t Reorder the terms: 6 + 18t = 54 + 8t + -6t Combine like terms: 8t + -6t = 2t 6 + 18t = 54 + 2t Solving 6 + 18t = 54 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 6 + 18t + -2t = 54 + 2t + -2t Combine like terms: 18t + -2t = 16t 6 + 16t = 54 + 2t + -2t Combine like terms: 2t + -2t = 0 6 + 16t = 54 + 0 6 + 16t = 54 Add '-6' to each side of the equation. 6 + -6 + 16t = 54 + -6 Combine like terms: 6 + -6 = 0 0 + 16t = 54 + -6 16t = 54 + -6 Combine like terms: 54 + -6 = 48 16t = 48 Divide each side by '16'. t = 3 Simplifying t = 3
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