0.5(2n+11)=5n-12-n

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Solution for 0.5(2n+11)=5n-12-n equation: 


Simplifying
0.5(2n + 11) = 5n + -12 + -1n

Reorder the terms:
0.5(11 + 2n) = 5n + -12 + -1n
(11 * 0.5 + 2n * 0.5) = 5n + -12 + -1n
(5.5 + 1n) = 5n + -12 + -1n

Reorder the terms:
5.5 + 1n = -12 + 5n + -1n

Combine like terms: 5n + -1n = 4n
5.5 + 1n = -12 + 4n

Solving
5.5 + 1n = -12 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
5.5 + 1n + -4n = -12 + 4n + -4n

Combine like terms: 1n + -4n = -3n
5.5 + -3n = -12 + 4n + -4n

Combine like terms: 4n + -4n = 0
5.5 + -3n = -12 + 0
5.5 + -3n = -12

Add '-5.5' to each side of the equation.
5.5 + -5.5 + -3n = -12 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + -3n = -12 + -5.5
-3n = -12 + -5.5

Combine like terms: -12 + -5.5 = -17.5
-3n = -17.5

Divide each side by '-3'.
n = 5.833333333

Simplifying
n = 5.833333333

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