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Simplifying [4f + 5] + [5f + 40] = 80 Reorder the terms: [5 + 4f] + [5f + 40] = 80 Remove brackets around [5 + 4f] 5 + 4f + [5f + 40] = 80 Reorder the terms: 5 + 4f + [40 + 5f] = 80 Remove brackets around [40 + 5f] 5 + 4f + 40 + 5f = 80 Reorder the terms: 5 + 40 + 4f + 5f = 80 Combine like terms: 5 + 40 = 45 45 + 4f + 5f = 80 Combine like terms: 4f + 5f = 9f 45 + 9f = 80 Solving 45 + 9f = 80 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 9f = 80 + -45 Combine like terms: 45 + -45 = 0 0 + 9f = 80 + -45 9f = 80 + -45 Combine like terms: 80 + -45 = 35 9f = 35 Divide each side by '9'. f = 3.888888889 Simplifying f = 3.888888889
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