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

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

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

Reorder the terms:
2(-8 + n) + -1(2n + -6) = -3n + -2n
(-8 * 2 + n * 2) + -1(2n + -6) = -3n + -2n
(-16 + 2n) + -1(2n + -6) = -3n + -2n

Reorder the terms:
-16 + 2n + -1(-6 + 2n) = -3n + -2n
-16 + 2n + (-6 * -1 + 2n * -1) = -3n + -2n
-16 + 2n + (6 + -2n) = -3n + -2n

Reorder the terms:
-16 + 6 + 2n + -2n = -3n + -2n

Combine like terms: -16 + 6 = -10
-10 + 2n + -2n = -3n + -2n

Combine like terms: 2n + -2n = 0
-10 + 0 = -3n + -2n
-10 = -3n + -2n

Combine like terms: -3n + -2n = -5n
-10 = -5n

Solving
-10 = -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
-10 + 5n = -5n + 5n

Combine like terms: -5n + 5n = 0
-10 + 5n = 0

Add '10' to each side of the equation.
-10 + 10 + 5n = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 5n = 0 + 10
5n = 0 + 10

Combine like terms: 0 + 10 = 10
5n = 10

Divide each side by '5'.
n = 2

Simplifying
n = 2