3(1+4n)+8n=83

Solution for 3(1+4n)+8n=83 equation:

Simplifying
3(1 + 4n) + 8n = 83
(1 * 3 + 4n * 3) + 8n = 83
(3 + 12n) + 8n = 83

Combine like terms: 12n + 8n = 20n
3 + 20n = 83

Solving
3 + 20n = 83

Solving for variable 'n'.

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

Add '-3' to each side of the equation.
3 + -3 + 20n = 83 + -3

Combine like terms: 3 + -3 = 0
0 + 20n = 83 + -3
20n = 83 + -3

Combine like terms: 83 + -3 = 80
20n = 80

Divide each side by '20'.
n = 4

Simplifying
n = 4