2(n-6)-(9+3n)=-2n

Solution for 2(n-6)-(9+3n)=-2n equation:

Simplifying
2(n + -6) + -1(9 + 3n) = -2n

Reorder the terms:
2(-6 + n) + -1(9 + 3n) = -2n
(-6 * 2 + n * 2) + -1(9 + 3n) = -2n
(-12 + 2n) + -1(9 + 3n) = -2n
-12 + 2n + (9 * -1 + 3n * -1) = -2n
-12 + 2n + (-9 + -3n) = -2n

Reorder the terms:
-12 + -9 + 2n + -3n = -2n

Combine like terms: -12 + -9 = -21
-21 + 2n + -3n = -2n

Combine like terms: 2n + -3n = -1n
-21 + -1n = -2n

Solving
-21 + -1n = -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
-21 + -1n + 2n = -2n + 2n

Combine like terms: -1n + 2n = 1n
-21 + 1n = -2n + 2n

Combine like terms: -2n + 2n = 0
-21 + 1n = 0

Add '21' to each side of the equation.
-21 + 21 + 1n = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 1n = 0 + 21
1n = 0 + 21

Combine like terms: 0 + 21 = 21
1n = 21

Divide each side by '1'.
n = 21

Simplifying
n = 21