6+n=.5(3n+3n-5)

Solution for 6+n=.5(3n+3n-5) equation:

Simplifying
6 + n = 0.5(3n + 3n + -5)

Reorder the terms:
6 + n = 0.5(-5 + 3n + 3n)

Combine like terms: 3n + 3n = 6n
6 + n = 0.5(-5 + 6n)
6 + n = (-5 * 0.5 + 6n * 0.5)
6 + n = (-2.5 + 3n)

Solving
6 + n = -2.5 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
6 + n + -3n = -2.5 + 3n + -3n

Combine like terms: n + -3n = -2n
6 + -2n = -2.5 + 3n + -3n

Combine like terms: 3n + -3n = 0
6 + -2n = -2.5 + 0
6 + -2n = -2.5

Add '-6' to each side of the equation.
6 + -6 + -2n = -2.5 + -6

Combine like terms: 6 + -6 = 0
0 + -2n = -2.5 + -6
-2n = -2.5 + -6

Combine like terms: -2.5 + -6 = -8.5
-2n = -8.5

Divide each side by '-2'.
n = 4.25

Simplifying
n = 4.25