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Simplifying f(n) = -3f(n + -1) + 1 Multiply f * n fn = -3f(n + -1) + 1 Reorder the terms: fn = -3f(-1 + n) + 1 fn = (-1 * -3f + n * -3f) + 1 fn = (3f + -3fn) + 1 Reorder the terms: fn = 1 + 3f + -3fn Solving fn = 1 + 3f + -3fn Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3f' to each side of the equation. -3f + fn = 1 + 3f + -3f + -3fn Combine like terms: 3f + -3f = 0 -3f + fn = 1 + 0 + -3fn -3f + fn = 1 + -3fn Add '3fn' to each side of the equation. -3f + fn + 3fn = 1 + -3fn + 3fn Combine like terms: fn + 3fn = 4fn -3f + 4fn = 1 + -3fn + 3fn Combine like terms: -3fn + 3fn = 0 -3f + 4fn = 1 + 0 -3f + 4fn = 1 Reorder the terms: -1 + -3f + 4fn = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -3f + 4fn = 0 The solution to this equation could not be determined.
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