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Simplifying 7(f + 5) = 9(f + 3) Reorder the terms: 7(5 + f) = 9(f + 3) (5 * 7 + f * 7) = 9(f + 3) (35 + 7f) = 9(f + 3) Reorder the terms: 35 + 7f = 9(3 + f) 35 + 7f = (3 * 9 + f * 9) 35 + 7f = (27 + 9f) Solving 35 + 7f = 27 + 9f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-9f' to each side of the equation. 35 + 7f + -9f = 27 + 9f + -9f Combine like terms: 7f + -9f = -2f 35 + -2f = 27 + 9f + -9f Combine like terms: 9f + -9f = 0 35 + -2f = 27 + 0 35 + -2f = 27 Add '-35' to each side of the equation. 35 + -35 + -2f = 27 + -35 Combine like terms: 35 + -35 = 0 0 + -2f = 27 + -35 -2f = 27 + -35 Combine like terms: 27 + -35 = -8 -2f = -8 Divide each side by '-2'. f = 4 Simplifying f = 4
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