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

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

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

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

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

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

Solving
1 + -4n = 6 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
1 + -4n + -6n = 6 + 6n + -6n

Combine like terms: -4n + -6n = -10n
1 + -10n = 6 + 6n + -6n

Combine like terms: 6n + -6n = 0
1 + -10n = 6 + 0
1 + -10n = 6

Add '-1' to each side of the equation.
1 + -1 + -10n = 6 + -1

Combine like terms: 1 + -1 = 0
0 + -10n = 6 + -1
-10n = 6 + -1

Combine like terms: 6 + -1 = 5
-10n = 5

Divide each side by '-10'.
n = -0.5

Simplifying
n = -0.5