an-6an-1+8an-2=9

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Solution for an-6an-1+8an-2=9 equation:


Simplifying
an + -6an + -1 + 8an + -2 = 9

Reorder the terms:
-1 + -2 + an + -6an + 8an = 9

Combine like terms: -1 + -2 = -3
-3 + an + -6an + 8an = 9

Combine like terms: an + -6an = -5an
-3 + -5an + 8an = 9

Combine like terms: -5an + 8an = 3an
-3 + 3an = 9

Solving
-3 + 3an = 9

Solving for variable 'a'.

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

Add '3' to each side of the equation.
-3 + 3 + 3an = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 3an = 9 + 3
3an = 9 + 3

Combine like terms: 9 + 3 = 12
3an = 12

Divide each side by '3n'.
a = 4n-1

Simplifying
a = 4n-1

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