2(2n+3)=9(9n+7)+6

Solution for 2(2n+3)=9(9n+7)+6 equation:

Simplifying
2(2n + 3) = 9(9n + 7) + 6

Reorder the terms:
2(3 + 2n) = 9(9n + 7) + 6
(3 * 2 + 2n * 2) = 9(9n + 7) + 6
(6 + 4n) = 9(9n + 7) + 6

Reorder the terms:
6 + 4n = 9(7 + 9n) + 6
6 + 4n = (7 * 9 + 9n * 9) + 6
6 + 4n = (63 + 81n) + 6

Reorder the terms:
6 + 4n = 63 + 6 + 81n

Combine like terms: 63 + 6 = 69
6 + 4n = 69 + 81n

Solving
6 + 4n = 69 + 81n

Solving for variable 'n'.

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

Add '-81n' to each side of the equation.
6 + 4n + -81n = 69 + 81n + -81n

Combine like terms: 4n + -81n = -77n
6 + -77n = 69 + 81n + -81n

Combine like terms: 81n + -81n = 0
6 + -77n = 69 + 0
6 + -77n = 69

Add '-6' to each side of the equation.
6 + -6 + -77n = 69 + -6

Combine like terms: 6 + -6 = 0
0 + -77n = 69 + -6
-77n = 69 + -6

Combine like terms: 69 + -6 = 63
-77n = 63

Divide each side by '-77'.
n = -0.8181818182

Simplifying
n = -0.8181818182