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Simplifying 3t + 14 = 42 + -1t Reorder the terms: 14 + 3t = 42 + -1t Solving 14 + 3t = 42 + -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. 14 + 3t + t = 42 + -1t + t Combine like terms: 3t + t = 4t 14 + 4t = 42 + -1t + t Combine like terms: -1t + t = 0 14 + 4t = 42 + 0 14 + 4t = 42 Add '-14' to each side of the equation. 14 + -14 + 4t = 42 + -14 Combine like terms: 14 + -14 = 0 0 + 4t = 42 + -14 4t = 42 + -14 Combine like terms: 42 + -14 = 28 4t = 28 Divide each side by '4'. t = 7 Simplifying t = 7
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