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Simplifying f + 2 + 2f + -5 = 5f + -17 Reorder the terms: 2 + -5 + f + 2f = 5f + -17 Combine like terms: 2 + -5 = -3 -3 + f + 2f = 5f + -17 Combine like terms: f + 2f = 3f -3 + 3f = 5f + -17 Reorder the terms: -3 + 3f = -17 + 5f Solving -3 + 3f = -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. -3 + 3f + -5f = -17 + 5f + -5f Combine like terms: 3f + -5f = -2f -3 + -2f = -17 + 5f + -5f Combine like terms: 5f + -5f = 0 -3 + -2f = -17 + 0 -3 + -2f = -17 Add '3' to each side of the equation. -3 + 3 + -2f = -17 + 3 Combine like terms: -3 + 3 = 0 0 + -2f = -17 + 3 -2f = -17 + 3 Combine like terms: -17 + 3 = -14 -2f = -14 Divide each side by '-2'. f = 7 Simplifying f = 7
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