8(n+6)+2(n-3)=72

Solution for 8(n+6)+2(n-3)=72 equation:

Simplifying
8(n + 6) + 2(n + -3) = 72

Reorder the terms:
8(6 + n) + 2(n + -3) = 72
(6 * 8 + n * 8) + 2(n + -3) = 72
(48 + 8n) + 2(n + -3) = 72

Reorder the terms:
48 + 8n + 2(-3 + n) = 72
48 + 8n + (-3 * 2 + n * 2) = 72
48 + 8n + (-6 + 2n) = 72

Reorder the terms:
48 + -6 + 8n + 2n = 72

Combine like terms: 48 + -6 = 42
42 + 8n + 2n = 72

Combine like terms: 8n + 2n = 10n
42 + 10n = 72

Solving
42 + 10n = 72

Solving for variable 'n'.

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

Add '-42' to each side of the equation.
42 + -42 + 10n = 72 + -42

Combine like terms: 42 + -42 = 0
0 + 10n = 72 + -42
10n = 72 + -42

Combine like terms: 72 + -42 = 30
10n = 30

Divide each side by '10'.
n = 3

Simplifying
n = 3