3n+3(1+8n)=57

Solution for 3n+3(1+8n)=57 equation:

Simplifying
3n + 3(1 + 8n) = 57
3n + (1 * 3 + 8n * 3) = 57
3n + (3 + 24n) = 57

Reorder the terms:
3 + 3n + 24n = 57

Combine like terms: 3n + 24n = 27n
3 + 27n = 57

Solving
3 + 27n = 57

Solving for variable 'n'.

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

Add '-3' to each side of the equation.
3 + -3 + 27n = 57 + -3

Combine like terms: 3 + -3 = 0
0 + 27n = 57 + -3
27n = 57 + -3

Combine like terms: 57 + -3 = 54
27n = 54

Divide each side by '27'.
n = 2

Simplifying
n = 2