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Simplifying 7(f + 3) = 4(f + 6) Reorder the terms: 7(3 + f) = 4(f + 6) (3 * 7 + f * 7) = 4(f + 6) (21 + 7f) = 4(f + 6) Reorder the terms: 21 + 7f = 4(6 + f) 21 + 7f = (6 * 4 + f * 4) 21 + 7f = (24 + 4f) Solving 21 + 7f = 24 + 4f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-4f' to each side of the equation. 21 + 7f + -4f = 24 + 4f + -4f Combine like terms: 7f + -4f = 3f 21 + 3f = 24 + 4f + -4f Combine like terms: 4f + -4f = 0 21 + 3f = 24 + 0 21 + 3f = 24 Add '-21' to each side of the equation. 21 + -21 + 3f = 24 + -21 Combine like terms: 21 + -21 = 0 0 + 3f = 24 + -21 3f = 24 + -21 Combine like terms: 24 + -21 = 3 3f = 3 Divide each side by '3'. f = 1 Simplifying f = 1
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