2(3-n)=16-2(3+2n)

Solution for 2(3-n)=16-2(3+2n) equation:

Simplifying
2(3 + -1n) = 16 + -2(3 + 2n)
(3 * 2 + -1n * 2) = 16 + -2(3 + 2n)
(6 + -2n) = 16 + -2(3 + 2n)
6 + -2n = 16 + (3 * -2 + 2n * -2)
6 + -2n = 16 + (-6 + -4n)

Combine like terms: 16 + -6 = 10
6 + -2n = 10 + -4n

Solving
6 + -2n = 10 + -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.
6 + -2n + 4n = 10 + -4n + 4n

Combine like terms: -2n + 4n = 2n
6 + 2n = 10 + -4n + 4n

Combine like terms: -4n + 4n = 0
6 + 2n = 10 + 0
6 + 2n = 10

Add '-6' to each side of the equation.
6 + -6 + 2n = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 2n = 10 + -6
2n = 10 + -6

Combine like terms: 10 + -6 = 4
2n = 4

Divide each side by '2'.
n = 2

Simplifying
n = 2