6(1-8n)-11n=6(n+1)-10n

Solution for 6(1-8n)-11n=6(n+1)-10n equation:

Simplifying
6(1 + -8n) + -11n = 6(n + 1) + -10n
(1 * 6 + -8n * 6) + -11n = 6(n + 1) + -10n
(6 + -48n) + -11n = 6(n + 1) + -10n

Combine like terms: -48n + -11n = -59n
6 + -59n = 6(n + 1) + -10n

Reorder the terms:
6 + -59n = 6(1 + n) + -10n
6 + -59n = (1 * 6 + n * 6) + -10n
6 + -59n = (6 + 6n) + -10n

Combine like terms: 6n + -10n = -4n
6 + -59n = 6 + -4n

Add '-6' to each side of the equation.
6 + -6 + -59n = 6 + -6 + -4n

Combine like terms: 6 + -6 = 0
0 + -59n = 6 + -6 + -4n
-59n = 6 + -6 + -4n

Combine like terms: 6 + -6 = 0
-59n = 0 + -4n
-59n = -4n

Solving
-59n = -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.
-59n + 4n = -4n + 4n

Combine like terms: -59n + 4n = -55n
-55n = -4n + 4n

Combine like terms: -4n + 4n = 0
-55n = 0

Divide each side by '-55'.
n = 0

Simplifying
n = 0