21n-6(n-2)=42

Solution for 21n-6(n-2)=42 equation:

Simplifying
21n + -6(n + -2) = 42

Reorder the terms:
21n + -6(-2 + n) = 42
21n + (-2 * -6 + n * -6) = 42
21n + (12 + -6n) = 42

Reorder the terms:
12 + 21n + -6n = 42

Combine like terms: 21n + -6n = 15n
12 + 15n = 42

Solving
12 + 15n = 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 + 15n = 42 + -12

Combine like terms: 12 + -12 = 0
0 + 15n = 42 + -12
15n = 42 + -12

Combine like terms: 42 + -12 = 30
15n = 30

Divide each side by '15'.
n = 2

Simplifying
n = 2