6(2n-1)=(9n+6)+7

Solution for 6(2n-1)=(9n+6)+7 equation:

Simplifying
6(2n + -1) = (9n + 6) + 7

Reorder the terms:
6(-1 + 2n) = (9n + 6) + 7
(-1 * 6 + 2n * 6) = (9n + 6) + 7
(-6 + 12n) = (9n + 6) + 7

Reorder the terms:
-6 + 12n = (6 + 9n) + 7

Remove parenthesis around (6 + 9n)
-6 + 12n = 6 + 9n + 7

Reorder the terms:
-6 + 12n = 6 + 7 + 9n

Combine like terms: 6 + 7 = 13
-6 + 12n = 13 + 9n

Solving
-6 + 12n = 13 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-6 + 12n + -9n = 13 + 9n + -9n

Combine like terms: 12n + -9n = 3n
-6 + 3n = 13 + 9n + -9n

Combine like terms: 9n + -9n = 0
-6 + 3n = 13 + 0
-6 + 3n = 13

Add '6' to each side of the equation.
-6 + 6 + 3n = 13 + 6

Combine like terms: -6 + 6 = 0
0 + 3n = 13 + 6
3n = 13 + 6

Combine like terms: 13 + 6 = 19
3n = 19

Divide each side by '3'.
n = 6.333333333

Simplifying
n = 6.333333333