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

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

Simplifying
2(1 + 4n) + -4n = 3(n + 1) + -2
(1 * 2 + 4n * 2) + -4n = 3(n + 1) + -2
(2 + 8n) + -4n = 3(n + 1) + -2

Combine like terms: 8n + -4n = 4n
2 + 4n = 3(n + 1) + -2

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

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

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

Solving
2 + 4n = 1 + 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.
2 + 4n + -3n = 1 + 3n + -3n

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

Combine like terms: 3n + -3n = 0
2 + 1n = 1 + 0
2 + 1n = 1

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

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

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

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

Simplifying
n = -1