n+(n-5)=5n

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


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

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

Remove parenthesis around (-5 + n)
n + -5 + n = 5n

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

Combine like terms: n + n = 2n
-5 + 2n = 5n

Solving
-5 + 2n = 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.
-5 + 2n + -5n = 5n + -5n

Combine like terms: 2n + -5n = -3n
-5 + -3n = 5n + -5n

Combine like terms: 5n + -5n = 0
-5 + -3n = 0

Add '5' to each side of the equation.
-5 + 5 + -3n = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3n = 0 + 5
-3n = 0 + 5

Combine like terms: 0 + 5 = 5
-3n = 5

Divide each side by '-3'.
n = -1.666666667

Simplifying
n = -1.666666667

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