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Simplifying 9t + -6 + -8t + 12 = 8 + -1t Reorder the terms: -6 + 12 + 9t + -8t = 8 + -1t Combine like terms: -6 + 12 = 6 6 + 9t + -8t = 8 + -1t Combine like terms: 9t + -8t = 1t 6 + 1t = 8 + -1t Solving 6 + 1t = 8 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 6 + 1t + t = 8 + -1t + t Combine like terms: 1t + t = 2t 6 + 2t = 8 + -1t + t Combine like terms: -1t + t = 0 6 + 2t = 8 + 0 6 + 2t = 8 Add '-6' to each side of the equation. 6 + -6 + 2t = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 2t = 8 + -6 2t = 8 + -6 Combine like terms: 8 + -6 = 2 2t = 2 Divide each side by '2'. t = 1 Simplifying t = 1
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