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Simplifying 3(t + 6) = 14 + t Reorder the terms: 3(6 + t) = 14 + t (6 * 3 + t * 3) = 14 + t (18 + 3t) = 14 + t Solving 18 + 3t = 14 + 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. 18 + 3t + -1t = 14 + t + -1t Combine like terms: 3t + -1t = 2t 18 + 2t = 14 + t + -1t Combine like terms: t + -1t = 0 18 + 2t = 14 + 0 18 + 2t = 14 Add '-18' to each side of the equation. 18 + -18 + 2t = 14 + -18 Combine like terms: 18 + -18 = 0 0 + 2t = 14 + -18 2t = 14 + -18 Combine like terms: 14 + -18 = -4 2t = -4 Divide each side by '2'. t = -2 Simplifying t = -2
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