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Simplifying f + 2 = 5f + -17 Reorder the terms: 2 + f = 5f + -17 Reorder the terms: 2 + f = -17 + 5f Solving 2 + f = -17 + 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. 2 + f + -5f = -17 + 5f + -5f Combine like terms: f + -5f = -4f 2 + -4f = -17 + 5f + -5f Combine like terms: 5f + -5f = 0 2 + -4f = -17 + 0 2 + -4f = -17 Add '-2' to each side of the equation. 2 + -2 + -4f = -17 + -2 Combine like terms: 2 + -2 = 0 0 + -4f = -17 + -2 -4f = -17 + -2 Combine like terms: -17 + -2 = -19 -4f = -19 Divide each side by '-4'. f = 4.75 Simplifying f = 4.75
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