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Simplifying -5f + 1 = -7f + 27 Reorder the terms: 1 + -5f = -7f + 27 Reorder the terms: 1 + -5f = 27 + -7f Solving 1 + -5f = 27 + -7f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '7f' to each side of the equation. 1 + -5f + 7f = 27 + -7f + 7f Combine like terms: -5f + 7f = 2f 1 + 2f = 27 + -7f + 7f Combine like terms: -7f + 7f = 0 1 + 2f = 27 + 0 1 + 2f = 27 Add '-1' to each side of the equation. 1 + -1 + 2f = 27 + -1 Combine like terms: 1 + -1 = 0 0 + 2f = 27 + -1 2f = 27 + -1 Combine like terms: 27 + -1 = 26 2f = 26 Divide each side by '2'. f = 13 Simplifying f = 13
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