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Simplifying 7(f + -2) = 5(f + 2) Reorder the terms: 7(-2 + f) = 5(f + 2) (-2 * 7 + f * 7) = 5(f + 2) (-14 + 7f) = 5(f + 2) Reorder the terms: -14 + 7f = 5(2 + f) -14 + 7f = (2 * 5 + f * 5) -14 + 7f = (10 + 5f) Solving -14 + 7f = 10 + 5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-5f' to each side of the equation. -14 + 7f + -5f = 10 + 5f + -5f Combine like terms: 7f + -5f = 2f -14 + 2f = 10 + 5f + -5f Combine like terms: 5f + -5f = 0 -14 + 2f = 10 + 0 -14 + 2f = 10 Add '14' to each side of the equation. -14 + 14 + 2f = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 2f = 10 + 14 2f = 10 + 14 Combine like terms: 10 + 14 = 24 2f = 24 Divide each side by '2'. f = 12 Simplifying f = 12
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