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Simplifying f(n) = -2f(n + -1) + 1 Multiply f * n fn = -2f(n + -1) + 1 Reorder the terms: fn = -2f(-1 + n) + 1 fn = (-1 * -2f + n * -2f) + 1 fn = (2f + -2fn) + 1 Reorder the terms: fn = 1 + 2f + -2fn Solving fn = 1 + 2f + -2fn Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. -2f + fn = 1 + 2f + -2f + -2fn Combine like terms: 2f + -2f = 0 -2f + fn = 1 + 0 + -2fn -2f + fn = 1 + -2fn Add '2fn' to each side of the equation. -2f + fn + 2fn = 1 + -2fn + 2fn Combine like terms: fn + 2fn = 3fn -2f + 3fn = 1 + -2fn + 2fn Combine like terms: -2fn + 2fn = 0 -2f + 3fn = 1 + 0 -2f + 3fn = 1 Reorder the terms: -1 + -2f + 3fn = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -2f + 3fn = 0 The solution to this equation could not be determined.
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