an-7an-1+10an-2=4n

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Solution for an-7an-1+10an-2=4n equation:


Simplifying
an + -7an + -1 + 10an + -2 = 4n

Reorder the terms:
-1 + -2 + an + -7an + 10an = 4n

Combine like terms: -1 + -2 = -3
-3 + an + -7an + 10an = 4n

Combine like terms: an + -7an = -6an
-3 + -6an + 10an = 4n

Combine like terms: -6an + 10an = 4an
-3 + 4an = 4n

Solving
-3 + 4an = 4n

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 + 4an = 3 + 4n

Combine like terms: -3 + 3 = 0
0 + 4an = 3 + 4n
4an = 3 + 4n

Divide each side by '4n'.
a = 0.75n-1 + 1

Simplifying
a = 0.75n-1 + 1

Reorder the terms:
a = 1 + 0.75n-1

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