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Simplifying 525 + 0.2t = 585 + 0.13t Solving 525 + 0.2t = 585 + 0.13t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.13t' to each side of the equation. 525 + 0.2t + -0.13t = 585 + 0.13t + -0.13t Combine like terms: 0.2t + -0.13t = 0.07t 525 + 0.07t = 585 + 0.13t + -0.13t Combine like terms: 0.13t + -0.13t = 0.00 525 + 0.07t = 585 + 0.00 525 + 0.07t = 585 Add '-525' to each side of the equation. 525 + -525 + 0.07t = 585 + -525 Combine like terms: 525 + -525 = 0 0 + 0.07t = 585 + -525 0.07t = 585 + -525 Combine like terms: 585 + -525 = 60 0.07t = 60 Divide each side by '0.07'. t = 857.1428571 Simplifying t = 857.1428571
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