4(n-6)-(9+2n)=n

Solution for 4(n-6)-(9+2n)=n equation:

Simplifying
4(n + -6) + -1(9 + 2n) = n

Reorder the terms:
4(-6 + n) + -1(9 + 2n) = n
(-6 * 4 + n * 4) + -1(9 + 2n) = n
(-24 + 4n) + -1(9 + 2n) = n
-24 + 4n + (9 * -1 + 2n * -1) = n
-24 + 4n + (-9 + -2n) = n

Reorder the terms:
-24 + -9 + 4n + -2n = n

Combine like terms: -24 + -9 = -33
-33 + 4n + -2n = n

Combine like terms: 4n + -2n = 2n
-33 + 2n = n

Solving
-33 + 2n = n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
-33 + 2n + -1n = n + -1n

Combine like terms: 2n + -1n = 1n
-33 + 1n = n + -1n

Combine like terms: n + -1n = 0
-33 + 1n = 0

Add '33' to each side of the equation.
-33 + 33 + 1n = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 1n = 0 + 33
1n = 0 + 33

Combine like terms: 0 + 33 = 33
1n = 33

Divide each side by '1'.
n = 33

Simplifying
n = 33