6+(n-4)=2(2n+13)

Solution for 6+(n-4)=2(2n+13) equation:

Simplifying
6 + (n + -4) = 2(2n + 13)

Reorder the terms:
6 + (-4 + n) = 2(2n + 13)

Remove parenthesis around (-4 + n)
6 + -4 + n = 2(2n + 13)

Combine like terms: 6 + -4 = 2
2 + n = 2(2n + 13)

Reorder the terms:
2 + n = 2(13 + 2n)
2 + n = (13 * 2 + 2n * 2)
2 + n = (26 + 4n)

Solving
2 + n = 26 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
2 + n + -4n = 26 + 4n + -4n

Combine like terms: n + -4n = -3n
2 + -3n = 26 + 4n + -4n

Combine like terms: 4n + -4n = 0
2 + -3n = 26 + 0
2 + -3n = 26

Add '-2' to each side of the equation.
2 + -2 + -3n = 26 + -2

Combine like terms: 2 + -2 = 0
0 + -3n = 26 + -2
-3n = 26 + -2

Combine like terms: 26 + -2 = 24
-3n = 24

Divide each side by '-3'.
n = -8

Simplifying
n = -8