-9(n-6)-(3-8n)=-2n

Solution for -9(n-6)-(3-8n)=-2n equation:

Simplifying
-9(n + -6) + -1(3 + -8n) = -2n

Reorder the terms:
-9(-6 + n) + -1(3 + -8n) = -2n
(-6 * -9 + n * -9) + -1(3 + -8n) = -2n
(54 + -9n) + -1(3 + -8n) = -2n
54 + -9n + (3 * -1 + -8n * -1) = -2n
54 + -9n + (-3 + 8n) = -2n

Reorder the terms:
54 + -3 + -9n + 8n = -2n

Combine like terms: 54 + -3 = 51
51 + -9n + 8n = -2n

Combine like terms: -9n + 8n = -1n
51 + -1n = -2n

Solving
51 + -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.
51 + -1n + 2n = -2n + 2n

Combine like terms: -1n + 2n = 1n
51 + 1n = -2n + 2n

Combine like terms: -2n + 2n = 0
51 + 1n = 0

Add '-51' to each side of the equation.
51 + -51 + 1n = 0 + -51

Combine like terms: 51 + -51 = 0
0 + 1n = 0 + -51
1n = 0 + -51

Combine like terms: 0 + -51 = -51
1n = -51

Divide each side by '1'.
n = -51

Simplifying
n = -51