2(n+3)=0.50(-6n+32)

Solution for 2(n+3)=0.50(-6n+32) equation:

Simplifying
2(n + 3) = 0.50(-6n + 32)

Reorder the terms:
2(3 + n) = 0.50(-6n + 32)
(3 * 2 + n * 2) = 0.50(-6n + 32)
(6 + 2n) = 0.50(-6n + 32)

Reorder the terms:
6 + 2n = 0.50(32 + -6n)
6 + 2n = (32 * 0.50 + -6n * 0.50)
6 + 2n = (16 + -3n)

Solving
6 + 2n = 16 + -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 + 2n + 3n = 16 + -3n + 3n

Combine like terms: 2n + 3n = 5n
6 + 5n = 16 + -3n + 3n

Combine like terms: -3n + 3n = 0
6 + 5n = 16 + 0
6 + 5n = 16

Add '-6' to each side of the equation.
6 + -6 + 5n = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 5n = 16 + -6
5n = 16 + -6

Combine like terms: 16 + -6 = 10
5n = 10

Divide each side by '5'.
n = 2

Simplifying
n = 2