3(2n+2)=6(6n+9)+8

Solution for 3(2n+2)=6(6n+9)+8 equation:

Simplifying
3(2n + 2) = 6(6n + 9) + 8

Reorder the terms:
3(2 + 2n) = 6(6n + 9) + 8
(2 * 3 + 2n * 3) = 6(6n + 9) + 8
(6 + 6n) = 6(6n + 9) + 8

Reorder the terms:
6 + 6n = 6(9 + 6n) + 8
6 + 6n = (9 * 6 + 6n * 6) + 8
6 + 6n = (54 + 36n) + 8

Reorder the terms:
6 + 6n = 54 + 8 + 36n

Combine like terms: 54 + 8 = 62
6 + 6n = 62 + 36n

Solving
6 + 6n = 62 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
6 + 6n + -36n = 62 + 36n + -36n

Combine like terms: 6n + -36n = -30n
6 + -30n = 62 + 36n + -36n

Combine like terms: 36n + -36n = 0
6 + -30n = 62 + 0
6 + -30n = 62

Add '-6' to each side of the equation.
6 + -6 + -30n = 62 + -6

Combine like terms: 6 + -6 = 0
0 + -30n = 62 + -6
-30n = 62 + -6

Combine like terms: 62 + -6 = 56
-30n = 56

Divide each side by '-30'.
n = -1.866666667

Simplifying
n = -1.866666667