6(n-3)+4n=42

Solution for 6(n-3)+4n=42 equation:

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

Reorder the terms:
6(-3 + n) + 4n = 42
(-3 * 6 + n * 6) + 4n = 42
(-18 + 6n) + 4n = 42

Combine like terms: 6n + 4n = 10n
-18 + 10n = 42

Solving
-18 + 10n = 42

Solving for variable 'n'.

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

Add '18' to each side of the equation.
-18 + 18 + 10n = 42 + 18

Combine like terms: -18 + 18 = 0
0 + 10n = 42 + 18
10n = 42 + 18

Combine like terms: 42 + 18 = 60
10n = 60

Divide each side by '10'.
n = 6

Simplifying
n = 6