an=84+(n-1)(-6)

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Solution for an=84+(n-1)(-6) equation: 


Simplifying
an = 84 + (n + -1)(-6)

Reorder the terms:
an = 84 + (-1 + n)(-6)

Reorder the terms for easier multiplication:
an = 84 + -6(-1 + n)
an = 84 + (-1 * -6 + n * -6)
an = 84 + (6 + -6n)

Combine like terms: 84 + 6 = 90
an = 90 + -6n

Solving
an = 90 + -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 = 90n-1 + -6

Simplifying
a = 90n-1 + -6

Reorder the terms:
a = -6 + 90n-1

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