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Simplifying 3(4t + -3) + t = 24 + -1t Reorder the terms: 3(-3 + 4t) + t = 24 + -1t (-3 * 3 + 4t * 3) + t = 24 + -1t (-9 + 12t) + t = 24 + -1t Combine like terms: 12t + t = 13t -9 + 13t = 24 + -1t Solving -9 + 13t = 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. -9 + 13t + t = 24 + -1t + t Combine like terms: 13t + t = 14t -9 + 14t = 24 + -1t + t Combine like terms: -1t + t = 0 -9 + 14t = 24 + 0 -9 + 14t = 24 Add '9' to each side of the equation. -9 + 9 + 14t = 24 + 9 Combine like terms: -9 + 9 = 0 0 + 14t = 24 + 9 14t = 24 + 9 Combine like terms: 24 + 9 = 33 14t = 33 Divide each side by '14'. t = 2.357142857 Simplifying t = 2.357142857
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