2(n-5)-(n+6)=-9

Solution for 2(n-5)-(n+6)=-9 equation:

Simplifying
2(n + -5) + -1(n + 6) = -9

Reorder the terms:
2(-5 + n) + -1(n + 6) = -9
(-5 * 2 + n * 2) + -1(n + 6) = -9
(-10 + 2n) + -1(n + 6) = -9

Reorder the terms:
-10 + 2n + -1(6 + n) = -9
-10 + 2n + (6 * -1 + n * -1) = -9
-10 + 2n + (-6 + -1n) = -9

Reorder the terms:
-10 + -6 + 2n + -1n = -9

Combine like terms: -10 + -6 = -16
-16 + 2n + -1n = -9

Combine like terms: 2n + -1n = 1n
-16 + 1n = -9

Solving
-16 + 1n = -9

Solving for variable 'n'.

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

Add '16' to each side of the equation.
-16 + 16 + 1n = -9 + 16

Combine like terms: -16 + 16 = 0
0 + 1n = -9 + 16
1n = -9 + 16

Combine like terms: -9 + 16 = 7
1n = 7

Divide each side by '1'.
n = 7

Simplifying
n = 7