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Simplifying 7t + 14 + -5t + -7 = 51 Reorder the terms: 14 + -7 + 7t + -5t = 51 Combine like terms: 14 + -7 = 7 7 + 7t + -5t = 51 Combine like terms: 7t + -5t = 2t 7 + 2t = 51 Solving 7 + 2t = 51 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2t = 51 + -7 Combine like terms: 7 + -7 = 0 0 + 2t = 51 + -7 2t = 51 + -7 Combine like terms: 51 + -7 = 44 2t = 44 Divide each side by '2'. t = 22 Simplifying t = 22
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