3(2n+1)-2n=21

Solution for 3(2n+1)-2n=21 equation:

Simplifying
3(2n + 1) + -2n = 21

Reorder the terms:
3(1 + 2n) + -2n = 21
(1 * 3 + 2n * 3) + -2n = 21
(3 + 6n) + -2n = 21

Combine like terms: 6n + -2n = 4n
3 + 4n = 21

Solving
3 + 4n = 21

Solving for variable 'n'.

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

Add '-3' to each side of the equation.
3 + -3 + 4n = 21 + -3

Combine like terms: 3 + -3 = 0
0 + 4n = 21 + -3
4n = 21 + -3

Combine like terms: 21 + -3 = 18
4n = 18

Divide each side by '4'.
n = 4.5

Simplifying
n = 4.5