10-5n=n-2

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Solution for 10-5n=n-2 equation: 


Simplifying
10 + -5n = n + -2

Reorder the terms:
10 + -5n = -2 + n

Solving
10 + -5n = -2 + 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.
10 + -5n + -1n = -2 + n + -1n

Combine like terms: -5n + -1n = -6n
10 + -6n = -2 + n + -1n

Combine like terms: n + -1n = 0
10 + -6n = -2 + 0
10 + -6n = -2

Add '-10' to each side of the equation.
10 + -10 + -6n = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -6n = -2 + -10
-6n = -2 + -10

Combine like terms: -2 + -10 = -12
-6n = -12

Divide each side by '-6'.
n = 2

Simplifying
n = 2

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