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Simplifying 21590 = 1600(t + -20) + 200000 Reorder the terms: 21590 = 1600(-20 + t) + 200000 21590 = (-20 * 1600 + t * 1600) + 200000 21590 = (-32000 + 1600t) + 200000 Reorder the terms: 21590 = -32000 + 200000 + 1600t Combine like terms: -32000 + 200000 = 168000 21590 = 168000 + 1600t Solving 21590 = 168000 + 1600t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1600t' to each side of the equation. 21590 + -1600t = 168000 + 1600t + -1600t Combine like terms: 1600t + -1600t = 0 21590 + -1600t = 168000 + 0 21590 + -1600t = 168000 Add '-21590' to each side of the equation. 21590 + -21590 + -1600t = 168000 + -21590 Combine like terms: 21590 + -21590 = 0 0 + -1600t = 168000 + -21590 -1600t = 168000 + -21590 Combine like terms: 168000 + -21590 = 146410 -1600t = 146410 Divide each side by '-1600'. t = -91.50625 Simplifying t = -91.50625
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