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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 = 8t 24 + 14t = 30 + 8t Solving 24 + 14t = 30 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 24 + 14t + -8t = 30 + 8t + -8t Combine like terms: 14t + -8t = 6t 24 + 6t = 30 + 8t + -8t Combine like terms: 8t + -8t = 0 24 + 6t = 30 + 0 24 + 6t = 30 Add '-24' to each side of the equation. 24 + -24 + 6t = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 6t = 30 + -24 6t = 30 + -24 Combine like terms: 30 + -24 = 6 6t = 6 Divide each side by '6'. t = 1 Simplifying t = 1
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