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Simplifying f(n) = 4f(n + -2) + -32 Multiply f * n fn = 4f(n + -2) + -32 Reorder the terms: fn = 4f(-2 + n) + -32 fn = (-2 * 4f + n * 4f) + -32 fn = (-8f + 4fn) + -32 Reorder the terms: fn = -32 + -8f + 4fn Solving fn = -32 + -8f + 4fn Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '8f' to each side of the equation. 8f + fn = -32 + -8f + 8f + 4fn Combine like terms: -8f + 8f = 0 8f + fn = -32 + 0 + 4fn 8f + fn = -32 + 4fn Add '-4fn' to each side of the equation. 8f + fn + -4fn = -32 + 4fn + -4fn Combine like terms: fn + -4fn = -3fn 8f + -3fn = -32 + 4fn + -4fn Combine like terms: 4fn + -4fn = 0 8f + -3fn = -32 + 0 8f + -3fn = -32 Reorder the terms: 32 + 8f + -3fn = -32 + 32 Combine like terms: -32 + 32 = 0 32 + 8f + -3fn = 0 The solution to this equation could not be determined.
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