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Simplifying fn = n + f(n + -1) Reorder the terms: fn = n + f(-1 + n) fn = n + (-1 * f + n * f) fn = n + (-1f + fn) Reorder the terms: fn = -1f + fn + n Add '-1fn' to each side of the equation. fn + -1fn = -1f + fn + -1fn + n Combine like terms: fn + -1fn = 0 0 = -1f + fn + -1fn + n Combine like terms: fn + -1fn = 0 0 = -1f + 0 + n 0 = -1f + n Solving 0 = -1f + n Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add 'f' to each side of the equation. 0 + f = -1f + f + n Remove the zero: f = -1f + f + n Combine like terms: -1f + f = 0 f = 0 + n f = n Simplifying f = n
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