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Simplifying 3t + 27 + 11t = 23t Reorder the terms: 27 + 3t + 11t = 23t Combine like terms: 3t + 11t = 14t 27 + 14t = 23t Solving 27 + 14t = 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 + 14t + -23t = 23t + -23t Combine like terms: 14t + -23t = -9t 27 + -9t = 23t + -23t Combine like terms: 23t + -23t = 0 27 + -9t = 0 Add '-27' to each side of the equation. 27 + -27 + -9t = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -9t = 0 + -27 -9t = 0 + -27 Combine like terms: 0 + -27 = -27 -9t = -27 Divide each side by '-9'. t = 3 Simplifying t = 3
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