f(3n)=4(3n)+2

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Solution for f(3n)=4(3n)+2 equation: 


Simplifying
f(3n) = 4(3n) + 2

Remove parenthesis around (3n)
f * 3n = 4(3n) + 2

Reorder the terms for easier multiplication:
3f * n = 4(3n) + 2

Multiply f * n
3fn = 4(3n) + 2

Remove parenthesis around (3n)
3fn = 4 * 3n + 2

Multiply 4 * 3
3fn = 12n + 2

Reorder the terms:
3fn = 2 + 12n

Solving
3fn = 2 + 12n

Solving for variable 'f'.

Move all terms containing f to the left, all other terms to the right.

Divide each side by '3n'.
f = 0.6666666667n-1 + 4

Simplifying
f = 0.6666666667n-1 + 4

Reorder the terms:
f = 4 + 0.6666666667n-1

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