6n+3(n+2)=-(2n+7)+n

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

Simplifying
6n + 3(n + 2) = -1(2n + 7) + n

Reorder the terms:
6n + 3(2 + n) = -1(2n + 7) + n
6n + (2 * 3 + n * 3) = -1(2n + 7) + n
6n + (6 + 3n) = -1(2n + 7) + n

Reorder the terms:
6 + 6n + 3n = -1(2n + 7) + n

Combine like terms: 6n + 3n = 9n
6 + 9n = -1(2n + 7) + n

Reorder the terms:
6 + 9n = -1(7 + 2n) + n
6 + 9n = (7 * -1 + 2n * -1) + n
6 + 9n = (-7 + -2n) + n

Combine like terms: -2n + n = -1n
6 + 9n = -7 + -1n

Solving
6 + 9n = -7 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
6 + 9n + n = -7 + -1n + n

Combine like terms: 9n + n = 10n
6 + 10n = -7 + -1n + n

Combine like terms: -1n + n = 0
6 + 10n = -7 + 0
6 + 10n = -7

Add '-6' to each side of the equation.
6 + -6 + 10n = -7 + -6

Combine like terms: 6 + -6 = 0
0 + 10n = -7 + -6
10n = -7 + -6

Combine like terms: -7 + -6 = -13
10n = -13

Divide each side by '10'.
n = -1.3

Simplifying
n = -1.3