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Simplifying 50(t + 1) = 30t Reorder the terms: 50(1 + t) = 30t (1 * 50 + t * 50) = 30t (50 + 50t) = 30t Solving 50 + 50t = 30t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-30t' to each side of the equation. 50 + 50t + -30t = 30t + -30t Combine like terms: 50t + -30t = 20t 50 + 20t = 30t + -30t Combine like terms: 30t + -30t = 0 50 + 20t = 0 Add '-50' to each side of the equation. 50 + -50 + 20t = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 20t = 0 + -50 20t = 0 + -50 Combine like terms: 0 + -50 = -50 20t = -50 Divide each side by '20'. t = -2.5 Simplifying t = -2.5
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