6(2n+1)-3n=51

Solution for 6(2n+1)-3n=51 equation:

Simplifying
6(2n + 1) + -3n = 51

Reorder the terms:
6(1 + 2n) + -3n = 51
(1 * 6 + 2n * 6) + -3n = 51
(6 + 12n) + -3n = 51

Combine like terms: 12n + -3n = 9n
6 + 9n = 51

Solving
6 + 9n = 51

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 + 9n = 51 + -6

Combine like terms: 6 + -6 = 0
0 + 9n = 51 + -6
9n = 51 + -6

Combine like terms: 51 + -6 = 45
9n = 45

Divide each side by '9'.
n = 5

Simplifying
n = 5