3(n-9)-(6-n)=

Solution for 3(n-9)-(6-n)= equation:

Simplifying
3(n + -9) + -1(6 + -1n) = 0

Reorder the terms:
3(-9 + n) + -1(6 + -1n) = 0
(-9 * 3 + n * 3) + -1(6 + -1n) = 0
(-27 + 3n) + -1(6 + -1n) = 0
-27 + 3n + (6 * -1 + -1n * -1) = 0
-27 + 3n + (-6 + 1n) = 0

Reorder the terms:
-27 + -6 + 3n + 1n = 0

Combine like terms: -27 + -6 = -33
-33 + 3n + 1n = 0

Combine like terms: 3n + 1n = 4n
-33 + 4n = 0

Solving
-33 + 4n = 0

Solving for variable 'n'.

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

Add '33' to each side of the equation.
-33 + 33 + 4n = 0 + 33

Combine like terms: -33 + 33 = 0
0 + 4n = 0 + 33
4n = 0 + 33

Combine like terms: 0 + 33 = 33
4n = 33

Divide each side by '4'.
n = 8.25

Simplifying
n = 8.25