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Simplifying t + -6 = 8 + -1t Reorder the terms: -6 + t = 8 + -1t Solving -6 + t = 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 + t + t = 8 + -1t + t Combine like terms: t + 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 = 14 2t = 14 Divide each side by '2'. t = 7 Simplifying t = 7
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