-2(n-3)-(4-9n)=6n

Solution for -2(n-3)-(4-9n)=6n equation:

Simplifying
-2(n + -3) + -1(4 + -9n) = 6n

Reorder the terms:
-2(-3 + n) + -1(4 + -9n) = 6n
(-3 * -2 + n * -2) + -1(4 + -9n) = 6n
(6 + -2n) + -1(4 + -9n) = 6n
6 + -2n + (4 * -1 + -9n * -1) = 6n
6 + -2n + (-4 + 9n) = 6n

Reorder the terms:
6 + -4 + -2n + 9n = 6n

Combine like terms: 6 + -4 = 2
2 + -2n + 9n = 6n

Combine like terms: -2n + 9n = 7n
2 + 7n = 6n

Solving
2 + 7n = 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
2 + 7n + -6n = 6n + -6n

Combine like terms: 7n + -6n = 1n
2 + 1n = 6n + -6n

Combine like terms: 6n + -6n = 0
2 + 1n = 0

Add '-2' to each side of the equation.
2 + -2 + 1n = 0 + -2

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

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

Divide each side by '1'.
n = -2

Simplifying
n = -2