3+8n=3(2n-1)

Solution for 3+8n=3(2n-1) equation:

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

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

Solving
3 + 8n = -3 + 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.
3 + 8n + -6n = -3 + 6n + -6n

Combine like terms: 8n + -6n = 2n
3 + 2n = -3 + 6n + -6n

Combine like terms: 6n + -6n = 0
3 + 2n = -3 + 0
3 + 2n = -3

Add '-3' to each side of the equation.
3 + -3 + 2n = -3 + -3

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

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

Divide each side by '2'.
n = -3

Simplifying
n = -3