6(3n+1)=9(9n+3)+7

Solution for 6(3n+1)=9(9n+3)+7 equation:

Simplifying
6(3n + 1) = 9(9n + 3) + 7

Reorder the terms:
6(1 + 3n) = 9(9n + 3) + 7
(1 * 6 + 3n * 6) = 9(9n + 3) + 7
(6 + 18n) = 9(9n + 3) + 7

Reorder the terms:
6 + 18n = 9(3 + 9n) + 7
6 + 18n = (3 * 9 + 9n * 9) + 7
6 + 18n = (27 + 81n) + 7

Reorder the terms:
6 + 18n = 27 + 7 + 81n

Combine like terms: 27 + 7 = 34
6 + 18n = 34 + 81n

Solving
6 + 18n = 34 + 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 + 18n + -81n = 34 + 81n + -81n

Combine like terms: 18n + -81n = -63n
6 + -63n = 34 + 81n + -81n

Combine like terms: 81n + -81n = 0
6 + -63n = 34 + 0
6 + -63n = 34

Add '-6' to each side of the equation.
6 + -6 + -63n = 34 + -6

Combine like terms: 6 + -6 = 0
0 + -63n = 34 + -6
-63n = 34 + -6

Combine like terms: 34 + -6 = 28
-63n = 28

Divide each side by '-63'.
n = -0.4444444444

Simplifying
n = -0.4444444444