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Simplifying 4f + 3 + -1f = 7 + 2 + f Reorder the terms: 3 + 4f + -1f = 7 + 2 + f Combine like terms: 4f + -1f = 3f 3 + 3f = 7 + 2 + f Combine like terms: 7 + 2 = 9 3 + 3f = 9 + f Solving 3 + 3f = 9 + f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-1f' to each side of the equation. 3 + 3f + -1f = 9 + f + -1f Combine like terms: 3f + -1f = 2f 3 + 2f = 9 + f + -1f Combine like terms: f + -1f = 0 3 + 2f = 9 + 0 3 + 2f = 9 Add '-3' to each side of the equation. 3 + -3 + 2f = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 2f = 9 + -3 2f = 9 + -3 Combine like terms: 9 + -3 = 6 2f = 6 Divide each side by '2'. f = 3 Simplifying f = 3
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