(5-n)-2=5+(n-2)

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Solution for (5-n)-2=5+(n-2) equation:


Simplifying
(5 + -1n) + -2 = 5 + (n + -2)

Remove parenthesis around (5 + -1n)
5 + -1n + -2 = 5 + (n + -2)

Reorder the terms:
5 + -2 + -1n = 5 + (n + -2)

Combine like terms: 5 + -2 = 3
3 + -1n = 5 + (n + -2)

Reorder the terms:
3 + -1n = 5 + (-2 + n)

Remove parenthesis around (-2 + n)
3 + -1n = 5 + -2 + n

Combine like terms: 5 + -2 = 3
3 + -1n = 3 + n

Add '-3' to each side of the equation.
3 + -3 + -1n = 3 + -3 + n

Combine like terms: 3 + -3 = 0
0 + -1n = 3 + -3 + n
-1n = 3 + -3 + n

Combine like terms: 3 + -3 = 0
-1n = 0 + n
-1n = n

Solving
-1n = n

Solving for variable 'n'.

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

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

Combine like terms: -1n + -1n = -2n
-2n = n + -1n

Combine like terms: n + -1n = 0
-2n = 0

Divide each side by '-2'.
n = 0

Simplifying
n = 0

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