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Simplifying 27t + 17 + -5t = 20t + -28 + 17 Reorder the terms: 17 + 27t + -5t = 20t + -28 + 17 Combine like terms: 27t + -5t = 22t 17 + 22t = 20t + -28 + 17 Reorder the terms: 17 + 22t = -28 + 17 + 20t Combine like terms: -28 + 17 = -11 17 + 22t = -11 + 20t Solving 17 + 22t = -11 + 20t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-20t' to each side of the equation. 17 + 22t + -20t = -11 + 20t + -20t Combine like terms: 22t + -20t = 2t 17 + 2t = -11 + 20t + -20t Combine like terms: 20t + -20t = 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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