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Simplifying 5(f + 5) = 2(5.5 + -1f) Reorder the terms: 5(5 + f) = 2(5.5 + -1f) (5 * 5 + f * 5) = 2(5.5 + -1f) (25 + 5f) = 2(5.5 + -1f) 25 + 5f = (5.5 * 2 + -1f * 2) 25 + 5f = (11 + -2f) Solving 25 + 5f = 11 + -2f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '2f' to each side of the equation. 25 + 5f + 2f = 11 + -2f + 2f Combine like terms: 5f + 2f = 7f 25 + 7f = 11 + -2f + 2f Combine like terms: -2f + 2f = 0 25 + 7f = 11 + 0 25 + 7f = 11 Add '-25' to each side of the equation. 25 + -25 + 7f = 11 + -25 Combine like terms: 25 + -25 = 0 0 + 7f = 11 + -25 7f = 11 + -25 Combine like terms: 11 + -25 = -14 7f = -14 Divide each side by '7'. f = -2 Simplifying f = -2
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