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

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

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

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

Reorder the terms:
3 + 3n = 4(1 + 2n)
3 + 3n = (1 * 4 + 2n * 4)
3 + 3n = (4 + 8n)

Solving
3 + 3n = 4 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
3 + 3n + -8n = 4 + 8n + -8n

Combine like terms: 3n + -8n = -5n
3 + -5n = 4 + 8n + -8n

Combine like terms: 8n + -8n = 0
3 + -5n = 4 + 0
3 + -5n = 4

Add '-3' to each side of the equation.
3 + -3 + -5n = 4 + -3

Combine like terms: 3 + -3 = 0
0 + -5n = 4 + -3
-5n = 4 + -3

Combine like terms: 4 + -3 = 1
-5n = 1

Divide each side by '-5'.
n = -0.2

Simplifying
n = -0.2