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Simplifying 3(1t + -1) = 9 + 1t Reorder the terms: 3(-1 + 1t) = 9 + 1t (-1 * 3 + 1t * 3) = 9 + 1t (-3 + 3t) = 9 + 1t Solving -3 + 3t = 9 + 1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -3 + 3t + -1t = 9 + 1t + -1t Combine like terms: 3t + -1t = 2t -3 + 2t = 9 + 1t + -1t Combine like terms: 1t + -1t = 0 -3 + 2t = 9 + 0 -3 + 2t = 9 Add '3' to each side of the equation. -3 + 3 + 2t = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 2t = 9 + 3 2t = 9 + 3 Combine like terms: 9 + 3 = 12 2t = 12 Divide each side by '2'. t = 6 Simplifying t = 6
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