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