5(n-6)-(4-7n)=11n

Solution for 5(n-6)-(4-7n)=11n equation:

Simplifying
5(n + -6) + -1(4 + -7n) = 11n

Reorder the terms:
5(-6 + n) + -1(4 + -7n) = 11n
(-6 * 5 + n * 5) + -1(4 + -7n) = 11n
(-30 + 5n) + -1(4 + -7n) = 11n
-30 + 5n + (4 * -1 + -7n * -1) = 11n
-30 + 5n + (-4 + 7n) = 11n

Reorder the terms:
-30 + -4 + 5n + 7n = 11n

Combine like terms: -30 + -4 = -34
-34 + 5n + 7n = 11n

Combine like terms: 5n + 7n = 12n
-34 + 12n = 11n

Solving
-34 + 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.
-34 + 12n + -11n = 11n + -11n

Combine like terms: 12n + -11n = 1n
-34 + 1n = 11n + -11n

Combine like terms: 11n + -11n = 0
-34 + 1n = 0

Add '34' to each side of the equation.
-34 + 34 + 1n = 0 + 34

Combine like terms: -34 + 34 = 0
0 + 1n = 0 + 34
1n = 0 + 34

Combine like terms: 0 + 34 = 34
1n = 34

Divide each side by '1'.
n = 34

Simplifying
n = 34