f(3)=3f(n-1)+1

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Solution for f(3)=3f(n-1)+1 equation:


Simplifying
f(3) = 3f(n + -1) + 1

Reorder the terms for easier multiplication:
3f = 3f(n + -1) + 1

Reorder the terms:
3f = 3f(-1 + n) + 1
3f = (-1 * 3f + n * 3f) + 1
3f = (-3f + 3fn) + 1

Reorder the terms:
3f = 1 + -3f + 3fn

Solving
3f = 1 + -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 + 3f = 1 + -3f + 3f + 3fn

Combine like terms: 3f + 3f = 6f
6f = 1 + -3f + 3f + 3fn

Combine like terms: -3f + 3f = 0
6f = 1 + 0 + 3fn
6f = 1 + 3fn

Add '-3fn' to each side of the equation.
6f + -3fn = 1 + 3fn + -3fn

Combine like terms: 3fn + -3fn = 0
6f + -3fn = 1 + 0
6f + -3fn = 1

Reorder the terms:
-1 + 6f + -3fn = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 6f + -3fn = 0

The solution to this equation could not be determined.

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