2(2n+3)+3(n+1)=0

Solution for 2(2n+3)+3(n+1)=0 equation:

Simplifying
2(2n + 3) + 3(n + 1) = 0

Reorder the terms:
2(3 + 2n) + 3(n + 1) = 0
(3 * 2 + 2n * 2) + 3(n + 1) = 0
(6 + 4n) + 3(n + 1) = 0

Reorder the terms:
6 + 4n + 3(1 + n) = 0
6 + 4n + (1 * 3 + n * 3) = 0
6 + 4n + (3 + 3n) = 0

Reorder the terms:
6 + 3 + 4n + 3n = 0

Combine like terms: 6 + 3 = 9
9 + 4n + 3n = 0

Combine like terms: 4n + 3n = 7n
9 + 7n = 0

Solving
9 + 7n = 0

Solving for variable 'n'.

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

Add '-9' to each side of the equation.
9 + -9 + 7n = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 7n = 0 + -9
7n = 0 + -9

Combine like terms: 0 + -9 = -9
7n = -9

Divide each side by '7'.
n = -1.285714286

Simplifying
n = -1.285714286