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Simplifying 4(f + 5) = 6(f + 4) Reorder the terms: 4(5 + f) = 6(f + 4) (5 * 4 + f * 4) = 6(f + 4) (20 + 4f) = 6(f + 4) Reorder the terms: 20 + 4f = 6(4 + f) 20 + 4f = (4 * 6 + f * 6) 20 + 4f = (24 + 6f) Solving 20 + 4f = 24 + 6f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-6f' to each side of the equation. 20 + 4f + -6f = 24 + 6f + -6f Combine like terms: 4f + -6f = -2f 20 + -2f = 24 + 6f + -6f Combine like terms: 6f + -6f = 0 20 + -2f = 24 + 0 20 + -2f = 24 Add '-20' to each side of the equation. 20 + -20 + -2f = 24 + -20 Combine like terms: 20 + -20 = 0 0 + -2f = 24 + -20 -2f = 24 + -20 Combine like terms: 24 + -20 = 4 -2f = 4 Divide each side by '-2'. f = -2 Simplifying f = -2
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