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Simplifying 1200(45 + n) = 18000(60 + n) (45 * 1200 + n * 1200) = 18000(60 + n) (54000 + 1200n) = 18000(60 + n) 54000 + 1200n = (60 * 18000 + n * 18000) 54000 + 1200n = (1080000 + 18000n) Solving 54000 + 1200n = 1080000 + 18000n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18000n' to each side of the equation. 54000 + 1200n + -18000n = 1080000 + 18000n + -18000n Combine like terms: 1200n + -18000n = -16800n 54000 + -16800n = 1080000 + 18000n + -18000n Combine like terms: 18000n + -18000n = 0 54000 + -16800n = 1080000 + 0 54000 + -16800n = 1080000 Add '-54000' to each side of the equation. 54000 + -54000 + -16800n = 1080000 + -54000 Combine like terms: 54000 + -54000 = 0 0 + -16800n = 1080000 + -54000 -16800n = 1080000 + -54000 Combine like terms: 1080000 + -54000 = 1026000 -16800n = 1026000 Divide each side by '-16800'. n = -61.07142857 Simplifying n = -61.07142857
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