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Simplifying 5 + 4(5f + -1) = 11(f + 5) Reorder the terms: 5 + 4(-1 + 5f) = 11(f + 5) 5 + (-1 * 4 + 5f * 4) = 11(f + 5) 5 + (-4 + 20f) = 11(f + 5) Combine like terms: 5 + -4 = 1 1 + 20f = 11(f + 5) Reorder the terms: 1 + 20f = 11(5 + f) 1 + 20f = (5 * 11 + f * 11) 1 + 20f = (55 + 11f) Solving 1 + 20f = 55 + 11f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-11f' to each side of the equation. 1 + 20f + -11f = 55 + 11f + -11f Combine like terms: 20f + -11f = 9f 1 + 9f = 55 + 11f + -11f Combine like terms: 11f + -11f = 0 1 + 9f = 55 + 0 1 + 9f = 55 Add '-1' to each side of the equation. 1 + -1 + 9f = 55 + -1 Combine like terms: 1 + -1 = 0 0 + 9f = 55 + -1 9f = 55 + -1 Combine like terms: 55 + -1 = 54 9f = 54 Divide each side by '9'. f = 6 Simplifying f = 6
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