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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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