n+(.5n+6)=21

Solution for n+(.5n+6)=21 equation:

Simplifying
n + (0.5n + 6) = 21

Reorder the terms:
n + (6 + 0.5n) = 21

Remove parenthesis around (6 + 0.5n)
n + 6 + 0.5n = 21

Reorder the terms:
6 + n + 0.5n = 21

Combine like terms: n + 0.5n = 1.5n
6 + 1.5n = 21

Solving
6 + 1.5n = 21

Solving for variable 'n'.

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

Add '-6' to each side of the equation.
6 + -6 + 1.5n = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 1.5n = 21 + -6
1.5n = 21 + -6

Combine like terms: 21 + -6 = 15
1.5n = 15

Divide each side by '1.5'.
n = 10

Simplifying
n = 10