-n+3(n+2)=6n+38

Solution for -n+3(n+2)=6n+38 equation:

Simplifying
-1n + 3(n + 2) = 6n + 38

Reorder the terms:
-1n + 3(2 + n) = 6n + 38
-1n + (2 * 3 + n * 3) = 6n + 38
-1n + (6 + 3n) = 6n + 38

Reorder the terms:
6 + -1n + 3n = 6n + 38

Combine like terms: -1n + 3n = 2n
6 + 2n = 6n + 38

Reorder the terms:
6 + 2n = 38 + 6n

Solving
6 + 2n = 38 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
6 + 2n + -6n = 38 + 6n + -6n

Combine like terms: 2n + -6n = -4n
6 + -4n = 38 + 6n + -6n

Combine like terms: 6n + -6n = 0
6 + -4n = 38 + 0
6 + -4n = 38

Add '-6' to each side of the equation.
6 + -6 + -4n = 38 + -6

Combine like terms: 6 + -6 = 0
0 + -4n = 38 + -6
-4n = 38 + -6

Combine like terms: 38 + -6 = 32
-4n = 32

Divide each side by '-4'.
n = -8

Simplifying
n = -8