6(5+8n)-2(n-6)=42

Solution for 6(5+8n)-2(n-6)=42 equation:

Simplifying
6(5 + 8n) + -2(n + -6) = 42
(5 * 6 + 8n * 6) + -2(n + -6) = 42
(30 + 48n) + -2(n + -6) = 42

Reorder the terms:
30 + 48n + -2(-6 + n) = 42
30 + 48n + (-6 * -2 + n * -2) = 42
30 + 48n + (12 + -2n) = 42

Reorder the terms:
30 + 12 + 48n + -2n = 42

Combine like terms: 30 + 12 = 42
42 + 48n + -2n = 42

Combine like terms: 48n + -2n = 46n
42 + 46n = 42

Add '-42' to each side of the equation.
42 + -42 + 46n = 42 + -42

Combine like terms: 42 + -42 = 0
0 + 46n = 42 + -42
46n = 42 + -42

Combine like terms: 42 + -42 = 0
46n = 0

Solving
46n = 0

Solving for variable 'n'.

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

Divide each side by '46'.
n = 0

Simplifying
n = 0