a(n)=5+(n-1)-8

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Solution for a(n)=5+(n-1)-8 equation: 


Simplifying
a(n) = 5 + (n + -1) + -8

Multiply a * n
an = 5 + (n + -1) + -8

Reorder the terms:
an = 5 + (-1 + n) + -8

Remove parenthesis around (-1 + n)
an = 5 + -1 + n + -8

Reorder the terms:
an = 5 + -1 + -8 + n

Combine like terms: 5 + -1 = 4
an = 4 + -8 + n

Combine like terms: 4 + -8 = -4
an = -4 + n

Solving
an = -4 + n

Solving for variable 'a'.

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

Divide each side by 'n'.
a = -4n-1 + 1

Simplifying
a = -4n-1 + 1

Reorder the terms:
a = 1 + -4n-1

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