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Simplifying (1h + 2f) + (1h + 4f) = 50h + 140f Reorder the terms: (2f + 1h) + (1h + 4f) = 50h + 140f Remove parenthesis around (2f + 1h) 2f + 1h + (1h + 4f) = 50h + 140f Reorder the terms: 2f + 1h + (4f + 1h) = 50h + 140f Remove parenthesis around (4f + 1h) 2f + 1h + 4f + 1h = 50h + 140f Reorder the terms: 2f + 4f + 1h + 1h = 50h + 140f Combine like terms: 2f + 4f = 6f 6f + 1h + 1h = 50h + 140f Combine like terms: 1h + 1h = 2h 6f + 2h = 50h + 140f Reorder the terms: 6f + 2h = 140f + 50h Solving 6f + 2h = 140f + 50h Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-140f' to each side of the equation. 6f + -140f + 2h = 140f + -140f + 50h Combine like terms: 6f + -140f = -134f -134f + 2h = 140f + -140f + 50h Combine like terms: 140f + -140f = 0 -134f + 2h = 0 + 50h -134f + 2h = 50h Add '-2h' to each side of the equation. -134f + 2h + -2h = 50h + -2h Combine like terms: 2h + -2h = 0 -134f + 0 = 50h + -2h -134f = 50h + -2h Combine like terms: 50h + -2h = 48h -134f = 48h Divide each side by '-134'. f = -0.3582089552h Simplifying f = -0.3582089552h
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