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