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Simplifying 24 = 4 + 2(f + 7) Reorder the terms: 24 = 4 + 2(7 + f) 24 = 4 + (7 * 2 + f * 2) 24 = 4 + (14 + 2f) Combine like terms: 4 + 14 = 18 24 = 18 + 2f Solving 24 = 18 + 2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. 24 + -2f = 18 + 2f + -2f Combine like terms: 2f + -2f = 0 24 + -2f = 18 + 0 24 + -2f = 18 Add '-24' to each side of the equation. 24 + -24 + -2f = 18 + -24 Combine like terms: 24 + -24 = 0 0 + -2f = 18 + -24 -2f = 18 + -24 Combine like terms: 18 + -24 = -6 -2f = -6 Divide each side by '-2'. f = 3 Simplifying f = 3
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