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Simplifying 30t + 20 = 28t + 42 Reorder the terms: 20 + 30t = 28t + 42 Reorder the terms: 20 + 30t = 42 + 28t Solving 20 + 30t = 42 + 28t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-28t' to each side of the equation. 20 + 30t + -28t = 42 + 28t + -28t Combine like terms: 30t + -28t = 2t 20 + 2t = 42 + 28t + -28t Combine like terms: 28t + -28t = 0 20 + 2t = 42 + 0 20 + 2t = 42 Add '-20' to each side of the equation. 20 + -20 + 2t = 42 + -20 Combine like terms: 20 + -20 = 0 0 + 2t = 42 + -20 2t = 42 + -20 Combine like terms: 42 + -20 = 22 2t = 22 Divide each side by '2'. t = 11 Simplifying t = 11
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