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

Solution for -(n-6)-3(-n+1)=-9 equation:

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

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

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

Reorder the terms:
6 + -3 + -1n + 3n = -9

Combine like terms: 6 + -3 = 3
3 + -1n + 3n = -9

Combine like terms: -1n + 3n = 2n
3 + 2n = -9

Solving
3 + 2n = -9

Solving for variable 'n'.

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

Add '-3' to each side of the equation.
3 + -3 + 2n = -9 + -3

Combine like terms: 3 + -3 = 0
0 + 2n = -9 + -3
2n = -9 + -3

Combine like terms: -9 + -3 = -12
2n = -12

Divide each side by '2'.
n = -6

Simplifying
n = -6