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Simplifying f(n + 1) = 2f(n) + -1 Reorder the terms: f(1 + n) = 2f(n) + -1 (1 * f + n * f) = 2f(n) + -1 (1f + fn) = 2f(n) + -1 Multiply f * n 1f + fn = 2fn + -1 Reorder the terms: 1f + fn = -1 + 2fn Solving 1f + fn = -1 + 2fn Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2fn' to each side of the equation. 1f + fn + -2fn = -1 + 2fn + -2fn Combine like terms: fn + -2fn = -1fn 1f + -1fn = -1 + 2fn + -2fn Combine like terms: 2fn + -2fn = 0 1f + -1fn = -1 + 0 1f + -1fn = -1 Reorder the terms: 1 + 1f + -1fn = -1 + 1 Combine like terms: -1 + 1 = 0 1 + 1f + -1fn = 0 The solution to this equation could not be determined.
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