3(n-7)-(6-n)=

Solution for 3(n-7)-(6-n)= equation:

Simplifying
3(n + -7) + -1(6 + -1n) = 0

Reorder the terms:
3(-7 + n) + -1(6 + -1n) = 0
(-7 * 3 + n * 3) + -1(6 + -1n) = 0
(-21 + 3n) + -1(6 + -1n) = 0
-21 + 3n + (6 * -1 + -1n * -1) = 0
-21 + 3n + (-6 + 1n) = 0

Reorder the terms:
-21 + -6 + 3n + 1n = 0

Combine like terms: -21 + -6 = -27
-27 + 3n + 1n = 0

Combine like terms: 3n + 1n = 4n
-27 + 4n = 0

Solving
-27 + 4n = 0

Solving for variable 'n'.

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

Add '27' to each side of the equation.
-27 + 27 + 4n = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 4n = 0 + 27
4n = 0 + 27

Combine like terms: 0 + 27 = 27
4n = 27

Divide each side by '4'.
n = 6.75

Simplifying
n = 6.75