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Simplifying 3(4 + t) = 24 + t (4 * 3 + t * 3) = 24 + t (12 + 3t) = 24 + t Solving 12 + 3t = 24 + 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. 12 + 3t + -1t = 24 + t + -1t Combine like terms: 3t + -1t = 2t 12 + 2t = 24 + t + -1t Combine like terms: t + -1t = 0 12 + 2t = 24 + 0 12 + 2t = 24 Add '-12' to each side of the equation. 12 + -12 + 2t = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 2t = 24 + -12 2t = 24 + -12 Combine like terms: 24 + -12 = 12 2t = 12 Divide each side by '2'. t = 6 Simplifying t = 6
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