3(8n-8)-(n+11)=80

Solution for 3(8n-8)-(n+11)=80 equation:

Simplifying
3(8n + -8) + -1(n + 11) = 80

Reorder the terms:
3(-8 + 8n) + -1(n + 11) = 80
(-8 * 3 + 8n * 3) + -1(n + 11) = 80
(-24 + 24n) + -1(n + 11) = 80

Reorder the terms:
-24 + 24n + -1(11 + n) = 80
-24 + 24n + (11 * -1 + n * -1) = 80
-24 + 24n + (-11 + -1n) = 80

Reorder the terms:
-24 + -11 + 24n + -1n = 80

Combine like terms: -24 + -11 = -35
-35 + 24n + -1n = 80

Combine like terms: 24n + -1n = 23n
-35 + 23n = 80

Solving
-35 + 23n = 80

Solving for variable 'n'.

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

Add '35' to each side of the equation.
-35 + 35 + 23n = 80 + 35

Combine like terms: -35 + 35 = 0
0 + 23n = 80 + 35
23n = 80 + 35

Combine like terms: 80 + 35 = 115
23n = 115

Divide each side by '23'.
n = 5

Simplifying
n = 5