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Simplifying 5f + 9 = 3f + -15 + 7 Reorder the terms: 9 + 5f = 3f + -15 + 7 Reorder the terms: 9 + 5f = -15 + 7 + 3f Combine like terms: -15 + 7 = -8 9 + 5f = -8 + 3f Solving 9 + 5f = -8 + 3f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. 9 + 5f + -3f = -8 + 3f + -3f Combine like terms: 5f + -3f = 2f 9 + 2f = -8 + 3f + -3f Combine like terms: 3f + -3f = 0 9 + 2f = -8 + 0 9 + 2f = -8 Add '-9' to each side of the equation. 9 + -9 + 2f = -8 + -9 Combine like terms: 9 + -9 = 0 0 + 2f = -8 + -9 2f = -8 + -9 Combine like terms: -8 + -9 = -17 2f = -17 Divide each side by '2'. f = -8.5 Simplifying f = -8.5
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