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Simplifying F(n) = F(n + -1) + 12 Multiply F * n nF = F(n + -1) + 12 Reorder the terms: nF = F(-1 + n) + 12 nF = (-1 * F + n * F) + 12 nF = (-1F + nF) + 12 Reorder the terms: nF = 12 + -1F + nF Add '-1nF' to each side of the equation. nF + -1nF = 12 + -1F + nF + -1nF Combine like terms: nF + -1nF = 0 0 = 12 + -1F + nF + -1nF Combine like terms: nF + -1nF = 0 0 = 12 + -1F + 0 0 = 12 + -1F Solving 0 = 12 + -1F Solving for variable 'F'. Move all terms containing F to the left, all other terms to the right. Add 'F' to each side of the equation. 0 + F = 12 + -1F + F Remove the zero: F = 12 + -1F + F Combine like terms: -1F + F = 0 F = 12 + 0 F = 12 Simplifying F = 12
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