n+2n+3n+(4+5)n+6(7+2n)=

Solution for n+2n+3n+(4+5)n+6(7+2n)= equation:

Simplifying
n + 2n + 3n + (4 + 5) * n + 6(7 + 2n) = 0

Combine like terms: 4 + 5 = 9
n + 2n + 3n + (9) * n + 6(7 + 2n) = 0
n + 2n + 3n + 9n + (7 * 6 + 2n * 6) = 0
n + 2n + 3n + 9n + (42 + 12n) = 0

Reorder the terms:
42 + n + 2n + 3n + 9n + 12n = 0

Combine like terms: n + 2n = 3n
42 + 3n + 3n + 9n + 12n = 0

Combine like terms: 3n + 3n = 6n
42 + 6n + 9n + 12n = 0

Combine like terms: 6n + 9n = 15n
42 + 15n + 12n = 0

Combine like terms: 15n + 12n = 27n
42 + 27n = 0

Solving
42 + 27n = 0

Solving for variable 'n'.

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

Add '-42' to each side of the equation.
42 + -42 + 27n = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 27n = 0 + -42
27n = 0 + -42

Combine like terms: 0 + -42 = -42
27n = -42

Divide each side by '27'.
n = -1.555555556

Simplifying
n = -1.555555556