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Simplifying 5 + 14t + -1 = 8t + 14 + -4t Reorder the terms: 5 + -1 + 14t = 8t + 14 + -4t Combine like terms: 5 + -1 = 4 4 + 14t = 8t + 14 + -4t Reorder the terms: 4 + 14t = 14 + 8t + -4t Combine like terms: 8t + -4t = 4t 4 + 14t = 14 + 4t Solving 4 + 14t = 14 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 4 + 14t + -4t = 14 + 4t + -4t Combine like terms: 14t + -4t = 10t 4 + 10t = 14 + 4t + -4t Combine like terms: 4t + -4t = 0 4 + 10t = 14 + 0 4 + 10t = 14 Add '-4' to each side of the equation. 4 + -4 + 10t = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 10t = 14 + -4 10t = 14 + -4 Combine like terms: 14 + -4 = 10 10t = 10 Divide each side by '10'. t = 1 Simplifying t = 1
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