a(n)=-6+5(n-1)

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Solution for a(n)=-6+5(n-1) equation: 


Simplifying
a(n) = -6 + 5(n + -1)

Multiply a * n
an = -6 + 5(n + -1)

Reorder the terms:
an = -6 + 5(-1 + n)
an = -6 + (-1 * 5 + n * 5)
an = -6 + (-5 + 5n)

Combine like terms: -6 + -5 = -11
an = -11 + 5n

Solving
an = -11 + 5n

Solving for variable 'a'.

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

Divide each side by 'n'.
a = -11n-1 + 5

Simplifying
a = -11n-1 + 5

Reorder the terms:
a = 5 + -11n-1

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