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Simplifying 3(3 + t) = 27 + t (3 * 3 + t * 3) = 27 + t (9 + 3t) = 27 + t Solving 9 + 3t = 27 + t 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. 9 + 3t + -1t = 27 + t + -1t Combine like terms: 3t + -1t = 2t 9 + 2t = 27 + t + -1t Combine like terms: t + -1t = 0 9 + 2t = 27 + 0 9 + 2t = 27 Add '-9' to each side of the equation. 9 + -9 + 2t = 27 + -9 Combine like terms: 9 + -9 = 0 0 + 2t = 27 + -9 2t = 27 + -9 Combine like terms: 27 + -9 = 18 2t = 18 Divide each side by '2'. t = 9 Simplifying t = 9
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