8n+4+3n+n-2=3(2n+n)+2(n+4)

Solution for 8n+4+3n+n-2=3(2n+n)+2(n+4) equation:

Simplifying
8n + 4 + 3n + n + -2 = 3(2n + n) + 2(n + 4)

Reorder the terms:
4 + -2 + 8n + 3n + n = 3(2n + n) + 2(n + 4)

Combine like terms: 4 + -2 = 2
2 + 8n + 3n + n = 3(2n + n) + 2(n + 4)

Combine like terms: 8n + 3n = 11n
2 + 11n + n = 3(2n + n) + 2(n + 4)

Combine like terms: 11n + n = 12n
2 + 12n = 3(2n + n) + 2(n + 4)

Combine like terms: 2n + n = 3n
2 + 12n = 3(3n) + 2(n + 4)

Remove parenthesis around (3n)
2 + 12n = 3 * 3n + 2(n + 4)

Multiply 3 * 3
2 + 12n = 9n + 2(n + 4)

Reorder the terms:
2 + 12n = 9n + 2(4 + n)
2 + 12n = 9n + (4 * 2 + n * 2)
2 + 12n = 9n + (8 + 2n)

Reorder the terms:
2 + 12n = 8 + 9n + 2n

Combine like terms: 9n + 2n = 11n
2 + 12n = 8 + 11n

Solving
2 + 12n = 8 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
2 + 12n + -11n = 8 + 11n + -11n

Combine like terms: 12n + -11n = 1n
2 + 1n = 8 + 11n + -11n

Combine like terms: 11n + -11n = 0
2 + 1n = 8 + 0
2 + 1n = 8

Add '-2' to each side of the equation.
2 + -2 + 1n = 8 + -2

Combine like terms: 2 + -2 = 0
0 + 1n = 8 + -2
1n = 8 + -2

Combine like terms: 8 + -2 = 6
1n = 6

Divide each side by '1'.
n = 6

Simplifying
n = 6