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