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Simplifying 60(t + -1) = 30(t + 1) Reorder the terms: 60(-1 + t) = 30(t + 1) (-1 * 60 + t * 60) = 30(t + 1) (-60 + 60t) = 30(t + 1) Reorder the terms: -60 + 60t = 30(1 + t) -60 + 60t = (1 * 30 + t * 30) -60 + 60t = (30 + 30t) Solving -60 + 60t = 30 + 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. -60 + 60t + -30t = 30 + 30t + -30t Combine like terms: 60t + -30t = 30t -60 + 30t = 30 + 30t + -30t Combine like terms: 30t + -30t = 0 -60 + 30t = 30 + 0 -60 + 30t = 30 Add '60' to each side of the equation. -60 + 60 + 30t = 30 + 60 Combine like terms: -60 + 60 = 0 0 + 30t = 30 + 60 30t = 30 + 60 Combine like terms: 30 + 60 = 90 30t = 90 Divide each side by '30'. t = 3 Simplifying t = 3
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