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Simplifying f + 27 = 5f + -5 Reorder the terms: 27 + f = 5f + -5 Reorder the terms: 27 + f = -5 + 5f Solving 27 + f = -5 + 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. 27 + f + -5f = -5 + 5f + -5f Combine like terms: f + -5f = -4f 27 + -4f = -5 + 5f + -5f Combine like terms: 5f + -5f = 0 27 + -4f = -5 + 0 27 + -4f = -5 Add '-27' to each side of the equation. 27 + -27 + -4f = -5 + -27 Combine like terms: 27 + -27 = 0 0 + -4f = -5 + -27 -4f = -5 + -27 Combine like terms: -5 + -27 = -32 -4f = -32 Divide each side by '-4'. f = 8 Simplifying f = 8
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