n+5(n-1)=1

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


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

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

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

Combine like terms: n + 5n = 6n
-5 + 6n = 1

Solving
-5 + 6n = 1

Solving for variable 'n'.

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

Add '5' to each side of the equation.
-5 + 5 + 6n = 1 + 5

Combine like terms: -5 + 5 = 0
0 + 6n = 1 + 5
6n = 1 + 5

Combine like terms: 1 + 5 = 6
6n = 6

Divide each side by '6'.
n = 1

Simplifying
n = 1

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