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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 = 56 4t = 56 Divide each side by '4'. t = 14 Simplifying t = 14
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