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Simplifying f(2n + 1) = 5 + -3(2n + 1) Reorder the terms: f(1 + 2n) = 5 + -3(2n + 1) (1 * f + 2n * f) = 5 + -3(2n + 1) (1f + 2fn) = 5 + -3(2n + 1) Reorder the terms: 1f + 2fn = 5 + -3(1 + 2n) 1f + 2fn = 5 + (1 * -3 + 2n * -3) 1f + 2fn = 5 + (-3 + -6n) Combine like terms: 5 + -3 = 2 1f + 2fn = 2 + -6n Solving 1f + 2fn = 2 + -6n Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Reorder the terms: -2 + 1f + 2fn + 6n = 2 + -6n + -2 + 6n Reorder the terms: -2 + 1f + 2fn + 6n = 2 + -2 + -6n + 6n Combine like terms: 2 + -2 = 0 -2 + 1f + 2fn + 6n = 0 + -6n + 6n -2 + 1f + 2fn + 6n = -6n + 6n Combine like terms: -6n + 6n = 0 -2 + 1f + 2fn + 6n = 0 The solution to this equation could not be determined.
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