3(n+1)=4n-1

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

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

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

Reorder the terms:
3 + 3n = -1 + 4n

Solving
3 + 3n = -1 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
3 + 3n + -4n = -1 + 4n + -4n

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

Combine like terms: 4n + -4n = 0
3 + -1n = -1 + 0
3 + -1n = -1

Add '-3' to each side of the equation.
3 + -3 + -1n = -1 + -3

Combine like terms: 3 + -3 = 0
0 + -1n = -1 + -3
-1n = -1 + -3

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

Divide each side by '-1'.
n = 4

Simplifying
n = 4