42=-3+3(3n+3)

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

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

Reorder the terms:
42 = -3 + 3(3 + 3n)
42 = -3 + (3 * 3 + 3n * 3)
42 = -3 + (9 + 9n)

Combine like terms: -3 + 9 = 6
42 = 6 + 9n

Solving
42 = 6 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
42 + -9n = 6 + 9n + -9n

Combine like terms: 9n + -9n = 0
42 + -9n = 6 + 0
42 + -9n = 6

Add '-42' to each side of the equation.
42 + -42 + -9n = 6 + -42

Combine like terms: 42 + -42 = 0
0 + -9n = 6 + -42
-9n = 6 + -42

Combine like terms: 6 + -42 = -36
-9n = -36

Divide each side by '-9'.
n = 4

Simplifying
n = 4