-5n+8n=3(8+6n)+6(1-5n)

Solution for -5n+8n=3(8+6n)+6(1-5n) equation:

Simplifying
-5n + 8n = 3(8 + 6n) + 6(1 + -5n)

Combine like terms: -5n + 8n = 3n
3n = 3(8 + 6n) + 6(1 + -5n)
3n = (8 * 3 + 6n * 3) + 6(1 + -5n)
3n = (24 + 18n) + 6(1 + -5n)
3n = 24 + 18n + (1 * 6 + -5n * 6)
3n = 24 + 18n + (6 + -30n)

Reorder the terms:
3n = 24 + 6 + 18n + -30n

Combine like terms: 24 + 6 = 30
3n = 30 + 18n + -30n

Combine like terms: 18n + -30n = -12n
3n = 30 + -12n

Solving
3n = 30 + -12n

Solving for variable 'n'.

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

Add '12n' to each side of the equation.
3n + 12n = 30 + -12n + 12n

Combine like terms: 3n + 12n = 15n
15n = 30 + -12n + 12n

Combine like terms: -12n + 12n = 0
15n = 30 + 0
15n = 30

Divide each side by '15'.
n = 2

Simplifying
n = 2