6(n-7)-(1-6n)=11n

Solution for 6(n-7)-(1-6n)=11n equation:

Simplifying
6(n + -7) + -1(1 + -6n) = 11n

Reorder the terms:
6(-7 + n) + -1(1 + -6n) = 11n
(-7 * 6 + n * 6) + -1(1 + -6n) = 11n
(-42 + 6n) + -1(1 + -6n) = 11n
-42 + 6n + (1 * -1 + -6n * -1) = 11n
-42 + 6n + (-1 + 6n) = 11n

Reorder the terms:
-42 + -1 + 6n + 6n = 11n

Combine like terms: -42 + -1 = -43
-43 + 6n + 6n = 11n

Combine like terms: 6n + 6n = 12n
-43 + 12n = 11n

Solving
-43 + 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.
-43 + 12n + -11n = 11n + -11n

Combine like terms: 12n + -11n = 1n
-43 + 1n = 11n + -11n

Combine like terms: 11n + -11n = 0
-43 + 1n = 0

Add '43' to each side of the equation.
-43 + 43 + 1n = 0 + 43

Combine like terms: -43 + 43 = 0
0 + 1n = 0 + 43
1n = 0 + 43

Combine like terms: 0 + 43 = 43
1n = 43

Divide each side by '1'.
n = 43

Simplifying
n = 43