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Simplifying f(n) = f(n + -1) + -5 Multiply f * n fn = f(n + -1) + -5 Reorder the terms: fn = f(-1 + n) + -5 fn = (-1 * f + n * f) + -5 fn = (-1f + fn) + -5 Reorder the terms: fn = -5 + -1f + fn Add '-1fn' to each side of the equation. fn + -1fn = -5 + -1f + fn + -1fn Combine like terms: fn + -1fn = 0 0 = -5 + -1f + fn + -1fn Combine like terms: fn + -1fn = 0 0 = -5 + -1f + 0 0 = -5 + -1f Solving 0 = -5 + -1f 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 = -5 + -1f + f Remove the zero: f = -5 + -1f + f Combine like terms: -1f + f = 0 f = -5 + 0 f = -5 Simplifying f = -5
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