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Simplifying 31 = 7f + -9f Combine like terms: 7f + -9f = -2f 31 = -2f Solving 31 = -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. 31 + 2f = -2f + 2f Combine like terms: -2f + 2f = 0 31 + 2f = 0 Add '-31' to each side of the equation. 31 + -31 + 2f = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 2f = 0 + -31 2f = 0 + -31 Combine like terms: 0 + -31 = -31 2f = -31 Divide each side by '2'. f = -15.5 Simplifying f = -15.5
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