4(2n+1)-4n=6+3n

Solution for 4(2n+1)-4n=6+3n equation:

Simplifying
4(2n + 1) + -4n = 6 + 3n

Reorder the terms:
4(1 + 2n) + -4n = 6 + 3n
(1 * 4 + 2n * 4) + -4n = 6 + 3n
(4 + 8n) + -4n = 6 + 3n

Combine like terms: 8n + -4n = 4n
4 + 4n = 6 + 3n

Solving
4 + 4n = 6 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
4 + 4n + -3n = 6 + 3n + -3n

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

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

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

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

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

Divide each side by '1'.
n = 2

Simplifying
n = 2