-(11n-5)=11(7-n)-4n

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Solution for -(11n-5)=11(7-n)-4n equation: 


Simplifying
-1(11n + -5) = 11(7 + -1n) + -4n

Reorder the terms:
-1(-5 + 11n) = 11(7 + -1n) + -4n
(-5 * -1 + 11n * -1) = 11(7 + -1n) + -4n
(5 + -11n) = 11(7 + -1n) + -4n
5 + -11n = (7 * 11 + -1n * 11) + -4n
5 + -11n = (77 + -11n) + -4n

Combine like terms: -11n + -4n = -15n
5 + -11n = 77 + -15n

Solving
5 + -11n = 77 + -15n

Solving for variable 'n'.

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

Add '15n' to each side of the equation.
5 + -11n + 15n = 77 + -15n + 15n

Combine like terms: -11n + 15n = 4n
5 + 4n = 77 + -15n + 15n

Combine like terms: -15n + 15n = 0
5 + 4n = 77 + 0
5 + 4n = 77

Add '-5' to each side of the equation.
5 + -5 + 4n = 77 + -5

Combine like terms: 5 + -5 = 0
0 + 4n = 77 + -5
4n = 77 + -5

Combine like terms: 77 + -5 = 72
4n = 72

Divide each side by '4'.
n = 18

Simplifying
n = 18

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