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Simplifying t + 14 = 34 + -3t Reorder the terms: 14 + t = 34 + -3t Solving 14 + t = 34 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 14 + t + 3t = 34 + -3t + 3t Combine like terms: t + 3t = 4t 14 + 4t = 34 + -3t + 3t Combine like terms: -3t + 3t = 0 14 + 4t = 34 + 0 14 + 4t = 34 Add '-14' to each side of the equation. 14 + -14 + 4t = 34 + -14 Combine like terms: 14 + -14 = 0 0 + 4t = 34 + -14 4t = 34 + -14 Combine like terms: 34 + -14 = 20 4t = 20 Divide each side by '4'. t = 5 Simplifying t = 5
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