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Simplifying 30(t + 2) = 50t Reorder the terms: 30(2 + t) = 50t (2 * 30 + t * 30) = 50t (60 + 30t) = 50t Solving 60 + 30t = 50t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-50t' to each side of the equation. 60 + 30t + -50t = 50t + -50t Combine like terms: 30t + -50t = -20t 60 + -20t = 50t + -50t Combine like terms: 50t + -50t = 0 60 + -20t = 0 Add '-60' to each side of the equation. 60 + -60 + -20t = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -20t = 0 + -60 -20t = 0 + -60 Combine like terms: 0 + -60 = -60 -20t = -60 Divide each side by '-20'. t = 3 Simplifying t = 3
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