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Simplifying 14t + 24 = 10t + 2t + 30 Reorder the terms: 24 + 14t = 10t + 2t + 30 Reorder the terms: 24 + 14t = 30 + 10t + 2t Combine like terms: 10t + 2t = 12t 24 + 14t = 30 + 12t Solving 24 + 14t = 30 + 12t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12t' to each side of the equation. 24 + 14t + -12t = 30 + 12t + -12t Combine like terms: 14t + -12t = 2t 24 + 2t = 30 + 12t + -12t Combine like terms: 12t + -12t = 0 24 + 2t = 30 + 0 24 + 2t = 30 Add '-24' to each side of the equation. 24 + -24 + 2t = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 2t = 30 + -24 2t = 30 + -24 Combine like terms: 30 + -24 = 6 2t = 6 Divide each side by '2'. t = 3 Simplifying t = 3
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