(3n+-5)6=42

Solution for (3n+-5)6=42 equation:

Simplifying
(3n + -5) * 6 = 42

Reorder the terms:
(-5 + 3n) * 6 = 42

Reorder the terms for easier multiplication:
6(-5 + 3n) = 42
(-5 * 6 + 3n * 6) = 42
(-30 + 18n) = 42

Solving
-30 + 18n = 42

Solving for variable 'n'.

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

Add '30' to each side of the equation.
-30 + 30 + 18n = 42 + 30

Combine like terms: -30 + 30 = 0
0 + 18n = 42 + 30
18n = 42 + 30

Combine like terms: 42 + 30 = 72
18n = 72

Divide each side by '18'.
n = 4

Simplifying
n = 4