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

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

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

Reorder the terms:
2(-7 + 2n) + n = 2n + 6
(-7 * 2 + 2n * 2) + n = 2n + 6
(-14 + 4n) + n = 2n + 6

Combine like terms: 4n + n = 5n
-14 + 5n = 2n + 6

Reorder the terms:
-14 + 5n = 6 + 2n

Solving
-14 + 5n = 6 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-14 + 5n + -2n = 6 + 2n + -2n

Combine like terms: 5n + -2n = 3n
-14 + 3n = 6 + 2n + -2n

Combine like terms: 2n + -2n = 0
-14 + 3n = 6 + 0
-14 + 3n = 6

Add '14' to each side of the equation.
-14 + 14 + 3n = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 3n = 6 + 14
3n = 6 + 14

Combine like terms: 6 + 14 = 20
3n = 20

Divide each side by '3'.
n = 6.666666667

Simplifying
n = 6.666666667