an=5n-10+an-1

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Solution for an=5n-10+an-1 equation:


Simplifying
an = 5n + -10 + an + -1

Reorder the terms:
an = -10 + -1 + an + 5n

Combine like terms: -10 + -1 = -11
an = -11 + an + 5n

Add '-1an' to each side of the equation.
an + -1an = -11 + an + -1an + 5n

Combine like terms: an + -1an = 0
0 = -11 + an + -1an + 5n

Combine like terms: an + -1an = 0
0 = -11 + 0 + 5n
0 = -11 + 5n

Solving
0 = -11 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
0 + -5n = -11 + 5n + -5n
Remove the zero:
-5n = -11 + 5n + -5n

Combine like terms: 5n + -5n = 0
-5n = -11 + 0
-5n = -11

Divide each side by '-5'.
n = 2.2

Simplifying
n = 2.2

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