an=3an-1+5

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Solution for an=3an-1+5 equation: 


Simplifying
an = 3an + -1 + 5

Reorder the terms:
an = -1 + 5 + 3an

Combine like terms: -1 + 5 = 4
an = 4 + 3an

Solving
an = 4 + 3an

Solving for variable 'a'.

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

Add '-3an' to each side of the equation.
an + -3an = 4 + 3an + -3an

Combine like terms: an + -3an = -2an
-2an = 4 + 3an + -3an

Combine like terms: 3an + -3an = 0
-2an = 4 + 0
-2an = 4

Divide each side by '-2n'.
a = -2n-1

Simplifying
a = -2n-1

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