4(n-4)-(6-8n)=11n

Solution for 4(n-4)-(6-8n)=11n equation:

Simplifying
4(n + -4) + -1(6 + -8n) = 11n

Reorder the terms:
4(-4 + n) + -1(6 + -8n) = 11n
(-4 * 4 + n * 4) + -1(6 + -8n) = 11n
(-16 + 4n) + -1(6 + -8n) = 11n
-16 + 4n + (6 * -1 + -8n * -1) = 11n
-16 + 4n + (-6 + 8n) = 11n

Reorder the terms:
-16 + -6 + 4n + 8n = 11n

Combine like terms: -16 + -6 = -22
-22 + 4n + 8n = 11n

Combine like terms: 4n + 8n = 12n
-22 + 12n = 11n

Solving
-22 + 12n = 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
-22 + 12n + -11n = 11n + -11n

Combine like terms: 12n + -11n = 1n
-22 + 1n = 11n + -11n

Combine like terms: 11n + -11n = 0
-22 + 1n = 0

Add '22' to each side of the equation.
-22 + 22 + 1n = 0 + 22

Combine like terms: -22 + 22 = 0
0 + 1n = 0 + 22
1n = 0 + 22

Combine like terms: 0 + 22 = 22
1n = 22

Divide each side by '1'.
n = 22

Simplifying
n = 22