3(-8-5n)+5(6+3n)=-n+2n

Solution for 3(-8-5n)+5(6+3n)=-n+2n equation:

Simplifying
3(-8 + -5n) + 5(6 + 3n) = -1n + 2n
(-8 * 3 + -5n * 3) + 5(6 + 3n) = -1n + 2n
(-24 + -15n) + 5(6 + 3n) = -1n + 2n
-24 + -15n + (6 * 5 + 3n * 5) = -1n + 2n
-24 + -15n + (30 + 15n) = -1n + 2n

Reorder the terms:
-24 + 30 + -15n + 15n = -1n + 2n

Combine like terms: -24 + 30 = 6
6 + -15n + 15n = -1n + 2n

Combine like terms: -15n + 15n = 0
6 + 0 = -1n + 2n
6 = -1n + 2n

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

Solving
6 = 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
6 + -1n = 1n + -1n

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

Add '-6' to each side of the equation.
6 + -6 + -1n = 0 + -6

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

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

Divide each side by '-1'.
n = 6

Simplifying
n = 6