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

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

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

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

Reorder the terms:
6 + 3n + -2n = 4n + 1

Combine like terms: 3n + -2n = 1n
6 + 1n = 4n + 1

Reorder the terms:
6 + 1n = 1 + 4n

Solving
6 + 1n = 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.
6 + 1n + -4n = 1 + 4n + -4n

Combine like terms: 1n + -4n = -3n
6 + -3n = 1 + 4n + -4n

Combine like terms: 4n + -4n = 0
6 + -3n = 1 + 0
6 + -3n = 1

Add '-6' to each side of the equation.
6 + -6 + -3n = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -3n = 1 + -6
-3n = 1 + -6

Combine like terms: 1 + -6 = -5
-3n = -5

Divide each side by '-3'.
n = 1.666666667

Simplifying
n = 1.666666667