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Simplifying 215900 = 1600(t + -20) + 200000 Reorder the terms: 215900 = 1600(-20 + t) + 200000 215900 = (-20 * 1600 + t * 1600) + 200000 215900 = (-32000 + 1600t) + 200000 Reorder the terms: 215900 = -32000 + 200000 + 1600t Combine like terms: -32000 + 200000 = 168000 215900 = 168000 + 1600t Solving 215900 = 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. 215900 + -1600t = 168000 + 1600t + -1600t Combine like terms: 1600t + -1600t = 0 215900 + -1600t = 168000 + 0 215900 + -1600t = 168000 Add '-215900' to each side of the equation. 215900 + -215900 + -1600t = 168000 + -215900 Combine like terms: 215900 + -215900 = 0 0 + -1600t = 168000 + -215900 -1600t = 168000 + -215900 Combine like terms: 168000 + -215900 = -47900 -1600t = -47900 Divide each side by '-1600'. t = 29.9375 Simplifying t = 29.9375
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