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Simplifying (2f + 23) = (4f + -5) Reorder the terms: (23 + 2f) = (4f + -5) Remove parenthesis around (23 + 2f) 23 + 2f = (4f + -5) Reorder the terms: 23 + 2f = (-5 + 4f) Remove parenthesis around (-5 + 4f) 23 + 2f = -5 + 4f Solving 23 + 2f = -5 + 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. 23 + 2f + -4f = -5 + 4f + -4f Combine like terms: 2f + -4f = -2f 23 + -2f = -5 + 4f + -4f Combine like terms: 4f + -4f = 0 23 + -2f = -5 + 0 23 + -2f = -5 Add '-23' to each side of the equation. 23 + -23 + -2f = -5 + -23 Combine like terms: 23 + -23 = 0 0 + -2f = -5 + -23 -2f = -5 + -23 Combine like terms: -5 + -23 = -28 -2f = -28 Divide each side by '-2'. f = 14 Simplifying f = 14
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