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Simplifying 3t + 7 = 5 + t + 9 Reorder the terms: 7 + 3t = 5 + t + 9 Reorder the terms: 7 + 3t = 5 + 9 + t Combine like terms: 5 + 9 = 14 7 + 3t = 14 + t Solving 7 + 3t = 14 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 7 + 3t + -1t = 14 + t + -1t Combine like terms: 3t + -1t = 2t 7 + 2t = 14 + t + -1t Combine like terms: t + -1t = 0 7 + 2t = 14 + 0 7 + 2t = 14 Add '-7' to each side of the equation. 7 + -7 + 2t = 14 + -7 Combine like terms: 7 + -7 = 0 0 + 2t = 14 + -7 2t = 14 + -7 Combine like terms: 14 + -7 = 7 2t = 7 Divide each side by '2'. t = 3.5 Simplifying t = 3.5
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