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Simplifying (4f + 7) = (2f + -2) Reorder the terms: (7 + 4f) = (2f + -2) Remove parenthesis around (7 + 4f) 7 + 4f = (2f + -2) Reorder the terms: 7 + 4f = (-2 + 2f) Remove parenthesis around (-2 + 2f) 7 + 4f = -2 + 2f Solving 7 + 4f = -2 + 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. 7 + 4f + -2f = -2 + 2f + -2f Combine like terms: 4f + -2f = 2f 7 + 2f = -2 + 2f + -2f Combine like terms: 2f + -2f = 0 7 + 2f = -2 + 0 7 + 2f = -2 Add '-7' to each side of the equation. 7 + -7 + 2f = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 2f = -2 + -7 2f = -2 + -7 Combine like terms: -2 + -7 = -9 2f = -9 Divide each side by '2'. f = -4.5 Simplifying f = -4.5
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