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Simplifying 10(100 + -1f) + 25(100 + -1s) = 1300 (100 * 10 + -1f * 10) + 25(100 + -1s) = 1300 (1000 + -10f) + 25(100 + -1s) = 1300 1000 + -10f + (100 * 25 + -1s * 25) = 1300 1000 + -10f + (2500 + -25s) = 1300 Reorder the terms: 1000 + 2500 + -10f + -25s = 1300 Combine like terms: 1000 + 2500 = 3500 3500 + -10f + -25s = 1300 Solving 3500 + -10f + -25s = 1300 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3500' to each side of the equation. 3500 + -10f + -3500 + -25s = 1300 + -3500 Reorder the terms: 3500 + -3500 + -10f + -25s = 1300 + -3500 Combine like terms: 3500 + -3500 = 0 0 + -10f + -25s = 1300 + -3500 -10f + -25s = 1300 + -3500 Combine like terms: 1300 + -3500 = -2200 -10f + -25s = -2200 Add '25s' to each side of the equation. -10f + -25s + 25s = -2200 + 25s Combine like terms: -25s + 25s = 0 -10f + 0 = -2200 + 25s -10f = -2200 + 25s Divide each side by '-10'. f = 220 + -2.5s Simplifying f = 220 + -2.5s
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