an=6(n-1)+9

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Solution for an=6(n-1)+9 equation: 


Simplifying
an = 6(n + -1) + 9

Reorder the terms:
an = 6(-1 + n) + 9
an = (-1 * 6 + n * 6) + 9
an = (-6 + 6n) + 9

Reorder the terms:
an = -6 + 9 + 6n

Combine like terms: -6 + 9 = 3
an = 3 + 6n

Solving
an = 3 + 6n

Solving for variable 'a'.

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

Divide each side by 'n'.
a = 3n-1 + 6

Simplifying
a = 3n-1 + 6

Reorder the terms:
a = 6 + 3n-1

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