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Simplifying 7t + -17 = 5t + 11 Reorder the terms: -17 + 7t = 5t + 11 Reorder the terms: -17 + 7t = 11 + 5t Solving -17 + 7t = 11 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -17 + 7t + -5t = 11 + 5t + -5t Combine like terms: 7t + -5t = 2t -17 + 2t = 11 + 5t + -5t Combine like terms: 5t + -5t = 0 -17 + 2t = 11 + 0 -17 + 2t = 11 Add '17' to each side of the equation. -17 + 17 + 2t = 11 + 17 Combine like terms: -17 + 17 = 0 0 + 2t = 11 + 17 2t = 11 + 17 Combine like terms: 11 + 17 = 28 2t = 28 Divide each side by '2'. t = 14 Simplifying t = 14
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