a(n)=8+(n-1)(6)

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Solution for a(n)=8+(n-1)(6) equation: 


Simplifying
a(n) = 8 + (n + -1)(6)

Multiply a * n
an = 8 + (n + -1)(6)

Reorder the terms:
an = 8 + (-1 + n)(6)

Reorder the terms for easier multiplication:
an = 8 + 6(-1 + n)
an = 8 + (-1 * 6 + n * 6)
an = 8 + (-6 + 6n)

Combine like terms: 8 + -6 = 2
an = 2 + 6n

Solving
an = 2 + 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 = 2n-1 + 6

Simplifying
a = 2n-1 + 6

Reorder the terms:
a = 6 + 2n-1

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