3n+3(n+4)=42

Solution for 3n+3(n+4)=42 equation:

Simplifying
3n + 3(n + 4) = 42

Reorder the terms:
3n + 3(4 + n) = 42
3n + (4 * 3 + n * 3) = 42
3n + (12 + 3n) = 42

Reorder the terms:
12 + 3n + 3n = 42

Combine like terms: 3n + 3n = 6n
12 + 6n = 42

Solving
12 + 6n = 42

Solving for variable 'n'.

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

Add '-12' to each side of the equation.
12 + -12 + 6n = 42 + -12

Combine like terms: 12 + -12 = 0
0 + 6n = 42 + -12
6n = 42 + -12

Combine like terms: 42 + -12 = 30
6n = 30

Divide each side by '6'.
n = 5

Simplifying
n = 5