3(2n+1)=6(3n+1)+4

Solution for 3(2n+1)=6(3n+1)+4 equation:

Simplifying
3(2n + 1) = 6(3n + 1) + 4

Reorder the terms:
3(1 + 2n) = 6(3n + 1) + 4
(1 * 3 + 2n * 3) = 6(3n + 1) + 4
(3 + 6n) = 6(3n + 1) + 4

Reorder the terms:
3 + 6n = 6(1 + 3n) + 4
3 + 6n = (1 * 6 + 3n * 6) + 4
3 + 6n = (6 + 18n) + 4

Reorder the terms:
3 + 6n = 6 + 4 + 18n

Combine like terms: 6 + 4 = 10
3 + 6n = 10 + 18n

Solving
3 + 6n = 10 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
3 + 6n + -18n = 10 + 18n + -18n

Combine like terms: 6n + -18n = -12n
3 + -12n = 10 + 18n + -18n

Combine like terms: 18n + -18n = 0
3 + -12n = 10 + 0
3 + -12n = 10

Add '-3' to each side of the equation.
3 + -3 + -12n = 10 + -3

Combine like terms: 3 + -3 = 0
0 + -12n = 10 + -3
-12n = 10 + -3

Combine like terms: 10 + -3 = 7
-12n = 7

Divide each side by '-12'.
n = -0.5833333333

Simplifying
n = -0.5833333333