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Simplifying 3t + 27 + -2t = 13 + 23t + -8 Reorder the terms: 27 + 3t + -2t = 13 + 23t + -8 Combine like terms: 3t + -2t = 1t 27 + 1t = 13 + 23t + -8 Reorder the terms: 27 + 1t = 13 + -8 + 23t Combine like terms: 13 + -8 = 5 27 + 1t = 5 + 23t Solving 27 + 1t = 5 + 23t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-23t' to each side of the equation. 27 + 1t + -23t = 5 + 23t + -23t Combine like terms: 1t + -23t = -22t 27 + -22t = 5 + 23t + -23t Combine like terms: 23t + -23t = 0 27 + -22t = 5 + 0 27 + -22t = 5 Add '-27' to each side of the equation. 27 + -27 + -22t = 5 + -27 Combine like terms: 27 + -27 = 0 0 + -22t = 5 + -27 -22t = 5 + -27 Combine like terms: 5 + -27 = -22 -22t = -22 Divide each side by '-22'. t = 1 Simplifying t = 1
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