2[n-3]=4n+1

Solution for 2[n-3]=4n+1 equation:

Simplifying
2[n + -3] = 4n + 1

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

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

Solving
-6 + 2n = 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 + 2n + -4n = 1 + 4n + -4n

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

Combine like terms: 4n + -4n = 0
-6 + -2n = 1 + 0
-6 + -2n = 1

Add '6' to each side of the equation.
-6 + 6 + -2n = 1 + 6

Combine like terms: -6 + 6 = 0
0 + -2n = 1 + 6
-2n = 1 + 6

Combine like terms: 1 + 6 = 7
-2n = 7

Divide each side by '-2'.
n = -3.5

Simplifying
n = -3.5