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Simplifying 2(4t + 3) + t = 24 + -1t Reorder the terms: 2(3 + 4t) + t = 24 + -1t (3 * 2 + 4t * 2) + t = 24 + -1t (6 + 8t) + t = 24 + -1t Combine like terms: 8t + t = 9t 6 + 9t = 24 + -1t Solving 6 + 9t = 24 + -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 + 9t + t = 24 + -1t + t Combine like terms: 9t + t = 10t 6 + 10t = 24 + -1t + t Combine like terms: -1t + t = 0 6 + 10t = 24 + 0 6 + 10t = 24 Add '-6' to each side of the equation. 6 + -6 + 10t = 24 + -6 Combine like terms: 6 + -6 = 0 0 + 10t = 24 + -6 10t = 24 + -6 Combine like terms: 24 + -6 = 18 10t = 18 Divide each side by '10'. t = 1.8 Simplifying t = 1.8
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